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Shparlinski, Igor E.

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Author ID: shparlinski.igor-e Recent zbMATH articles by "Shparlinski, Igor E."
Published as: Shparlinksi, Igor E.; Shparlinski, I.; Shparlinski, I. E.; Shparlinski, Igor; Shparlinski, Igor E.; Shparlinski, Igor. E.; Shparlinskii, I. E.; Shparlinskij, I. E.; Shparlinskij, Igor E.; Shparlinskiĭ, I. E.; Spharlinski, Igor E.
Homepage: http://web.maths.unsw.edu.au/~igorshparlinski/
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate · dblp · GND
Documents Indexed: 687 Publications since 1978, including 14 Books
all top 5

Co-Authors

196 single-authored
77 Luca, Florian
62 Banks, William D.
28 Friedlander, John Benjamin
24 Ostafe, Alina
23 von zur Gathen, Joachim
23 Winterhof, Arne
20 Garaev, Moubariz Z.
20 Konyagin, Sergeĭ Vladimirovich
13 Pomerance, Carl Bernard
12 Niederreiter, Harald
12 Sha, Min
10 Gomez-Perez, Domingo
9 Bourgain, Jean
9 Gutierrez, Jaime
9 Pappalardi, Francesco
9 Stepanov, Sergei Alexandrovich
8 Ahmadi, Omran
8 Lieman, Daniel B.
8 Nguyen, Phong Q.
8 Voloch, José Felipe
7 Blackburn, Simon R.
7 Cilleruelo, Javier
7 El-Mahassni, Edwin D.
7 Karpinski, Marek
7 Mans, Bernard
6 Chang, Mei-Chu
6 Farashahi, Reza Rezaeian
6 Ford, Kevin B.
6 Kerr, Bryce
6 Mérai, László
6 van der Poorten, Alfred J.
6 Zhang, Tianping
5 Balasuriya, Sanka
5 Bernasconi, Anna
5 Heyman, Randell
5 Liu, Kui
5 Steinfeld, Ron
4 Blake, Ian F.
4 Conflitti, Alessandro
4 Damm, Carsten
4 Everest, Graham Robert
4 González Vasco, María Isabel
4 Griffin, Frances
4 Khan, Mizan R.
4 Kohel, David R.
4 Kosachevskaya, L. L.
4 Lange, Tanja
4 Mullen, Gary L.
4 Munsch, Marc
4 Näslund, Mats
4 Panario, Daniel
4 Shkredov, Il’ya Dmitrievich
4 Sutantyo, Daniel
4 Yau, Kam-hung
4 Zannier, Umberto M.
3 Bordellès, Olivier
3 Broughan, Kevin A.
3 Chen, Changhao
3 Cojocaru, Alina Carmen
3 Dietmann, Rainer
3 Elsholtz, Christian
3 Fouvry, Etienne
3 Macourt, Simon
3 Moree, Pieter
3 Romanovtsev, V. V.
3 Sutherland, Andrew V.
3 Wang, Huaxiong
3 Zumalacárregui, Ana
2 Allender, Eric W.
2 Balog, Antal
2 Canetti, Ran
2 Chan, Tsz Ho
2 Cohen, Stephen D.
2 Contini, Scott
2 Coppersmith, Don
2 D’Andrea, Carlos
2 Dewar, Michael C.
2 Dubickas, Artūras
2 Galiev, V. I.
2 Harcharras, Asma
2 Harman, Glyn
2 Heath-Brown, Roger
2 Howgrave-Graham, Nick A.
2 Kurlberg, Pär
2 Larsen, Michael Jeffrey
2 Lenstra, Arjen K.
2 Levieil, Eric
2 Levin, Mordekhaĭ Borisovich
2 Ling, San
2 Menezes, Alfred J.
2 Murty, Maruti Ram
2 Petridis, Giorgis
2 Polupanov, A. F.
2 Roche-Newton, Oliver
2 Russell, Alexander C.
2 Saidak, Filip
2 Saks, Michael E.
2 Saxena, Nitin
2 Sombra, Martín
2 Stichtenoth, Henning
...and 127 more Co-Authors
all top 5

Serials

29 Journal of Number Theory
25 Bulletin of the Australian Mathematical Society
24 Proceedings of the American Mathematical Society
20 Mathematics of Computation
20 Acta Arithmetica
20 Finite Fields and their Applications
13 Designs, Codes and Cryptography
13 The Quarterly Journal of Mathematics
11 Indagationes Mathematicae. New Series
11 Applicable Algebra in Engineering, Communication and Computing
11 International Journal of Number Theory
10 Information Processing Letters
10 Mathematika
9 Periodica Mathematica Hungarica
9 Archiv der Mathematik
9 Glasgow Mathematical Journal
9 Michigan Mathematical Journal
9 Monatshefte für Mathematik
9 SIAM Journal on Discrete Mathematics
8 Mathematical Notes
8 Canadian Mathematical Bulletin
8 Transactions of the American Mathematical Society
8 Experimental Mathematics
7 IEEE Transactions on Information Theory
7 Bulletin of the London Mathematical Society
7 U.S.S.R. Computational Mathematics and Mathematical Physics
7 Bulletin of the Polish Academy of Sciences, Mathematics
7 Journal of Mathematical Cryptology
6 Canadian Journal of Mathematics
6 IMRN. International Mathematics Research Notices
6 Uniform Distribution Theory
5 Rocky Mountain Journal of Mathematics
5 Russian Mathematical Surveys
5 Mathematische Zeitschrift
5 Computational Complexity
5 Journal de Théorie des Nombres de Bordeaux
5 Mathematical Research Letters
4 Matematicheskie Zametki
4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
4 Colloquium Mathematicum
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 SIAM Journal on Computing
4 Theoretical Computer Science
4 Journal of Symbolic Computation
4 Journal of Complexity
4 Linear Algebra and its Applications
4 Integers
3 Journal d’Analyse Mathématique
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Problems of Information Transmission
3 Uspekhi Matematicheskikh Nauk [N. S.]
3 Advances in Mathematics
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of the London Mathematical Society. Second Series
3 Algorithmica
3 Revista Matemática Iberoamericana
3 Journal of Cryptology
3 Mathematics of the USSR, Sbornik
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Annals of Combinatorics
3 Revista Matemática Complutense
3 Journal of the Australian Mathematical Society
3 Contemporary Mathematics
3 Progress in Computer Science and Applied Logic
3 Advances in Mathematics of Communications
2 Discrete Mathematics
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Acta Scientiarum Mathematicarum
2 Czechoslovak Mathematical Journal
2 Functiones et Approximatio. Commentarii Mathematici
2 Illinois Journal of Mathematics
2 Kodai Mathematical Journal
2 Manuscripta Mathematica
2 Pacific Journal of Mathematics
2 Publicationes Mathematicae
2 Journal of Algorithms
2 European Journal of Combinatorics
2 Applied Mathematics Letters
2 Forum Mathematicum
2 Discrete Mathematics and Applications
2 Problemy Peredachi Informatsii
2 Matematicheskiĭ Sbornik
2 Discrete and Continuous Dynamical Systems
2 The Ramanujan Journal
2 Journal of Integer Sequences
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Pure and Applied Mathematics Quarterly
2 Proceedings of the Steklov Institute of Mathematics
2 Research in the Mathematical Sciences
1 Discrete Applied Mathematics
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
1 Journal of Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales des Sciences Mathématiques du Québec
1 The Australian Mathematical Society Gazette
1 Bulletin de la Société Mathématique de France
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Journal of Approximation Theory
...and 45 more Serials

Publications by Year

Citations contained in zbMATH

517 Publications have been cited 2,804 times in 1,351 Documents Cited by Year
Recurrence sequences. Zbl 1033.11006
Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas
85
2003
Character sums with exponential functions and their applications. Zbl 0933.11001
Konyagin, S. V.; Shparlinski, I. E.
77
1999
Parameters of integral circulant graphs and periodic quantum dynamics. Zbl 1119.81042
Saxena, Nitin; Severini, Simone; Shparlinski, Igor E.
38
2007
Computational and algorithmic problems in finite fields. Zbl 0780.11064
Shparlinski, Igor E.
35
1992
Cryptographic applications of analytic number theory. Complexity lower bounds and pseudorandomness. Zbl 1036.94001
Shparlinski, I.
29
2003
Finite fields: theory and computation. The meeting point of number theory, computer science, coding theory and cryptography. Zbl 0967.11052
Shparlinski, I. E.
26
1999
On the hidden shifted power problem. Zbl 1311.11111
Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E.
25
2012
Graphs with integral spectrum. Zbl 1178.05060
Ahmadi, Omran; Alon, Noga; Blake, Ian F.; Shparlinski, Igor E.
25
2009
On polynomial approximation of the discrete logarithm and the Diffie-Hellman mapping. Zbl 1038.94007
Coppersmith, Don; Shparlinski, Igor
24
2000
On the distribution of inversive congruential pseudorandom numbers in parts of the period. Zbl 0983.11048
Niederreiter, Harald; Shparlinski, Igor E.
23
2001
On the concentration of points of polynomial maps and applications. Zbl 1285.11027
Cilleruelo, Javier; Garaev, Moubariz Z.; Ostafe, Alina; Shparlinski, Igor E.
22
2012
Pseudorandomness and dynamics of Fermat quotients. Zbl 1263.11003
Ostafe, Alina; Shparlinski, Igor E.
22
2011
Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height. Zbl 1250.11064
Banks, William D.; Shparlinski, Igor E.
22
2009
On the statistical properties of Diffie-Hellman distributions. Zbl 0997.11066
Canetti, Ran; Friedlander, John; Konyagin, Sergei; Larsen, Michael; Lieman, Daniel; Shparlinski, Igor
22
2000
On the cycle structure of repeated exponentiation modulo a prime. Zbl 1060.11059
Chou, Wun-Seng; Shparlinski, Igor E.
21
2004
Product sets of rationals, multiplicative translates of subgroups in residue rings, and fixed points of the discrete logarithm. Zbl 1232.11003
Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E.
20
2008
Recent advances in the theory of nonlinear pseudorandom number generators. Zbl 1076.65008
Niederreiter, Harald; Shparlinski, Igor E.
20
2002
Period of the power generator and small values of Carmichael’s function. Zbl 1029.11043
Friedlander, John B.; Pomerance, Carl; Shparlinski, Igor E.
20
2002
Character sums with exponential functions. Zbl 1017.11045
Friedlander, John B.; Hansen, Jan; Shparlinski, Igor E.
20
2000
Curves with many points and multiplication in finite fields. Zbl 0805.14028
Shparlinski, Igor E.; Tsfasman, Michael A.; Vladut, Serge G.
20
1992
On a ternary quadratic form over primes. Zbl 1243.11093
Fouvry, Étienne; Shparlinski, Igor E.
19
2011
On the divisibility of Fermat quotients. Zbl 1223.11116
Bourgain, Jean; Ford, Kevin; Konyagin, Sergei V.; Shparlinski, Igor E.
19
2010
The insecurity of the digital signature algorithm with partially known nonces. Zbl 1009.94011
Nguyen, Phong Q.; Shparlinski, Igor E.
19
2002
Modular hyperbolas. Zbl 1272.11050
Shparlinski, Igor E.
18
2012
On exponential sums and group generators for elliptic curves over finite fields. Zbl 1032.11034
Kohel, David R.; Shparlinski, Igor E.
18
2000
On the distribution and lattice structure of nonlinear congruential pseudorandom numbers. Zbl 0942.11037
Niederreiter, Harald; Shparlinski, Igor E.
18
1999
On congruences with products of variables from short intervals and applications. Zbl 1301.11041
Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E.
17
2013
On the distribution of the power generator. Zbl 1029.11042
Friedlander, John B.; Shparlinski, Igor E.
17
2001
On the Naor-Reingold pseudo-random function from elliptic curves. Zbl 1011.11055
Shparlinski, Igor E.
17
2000
The insecurity of the elliptic curve digital signature algorithm with partially known nonces. Zbl 1039.94008
Nguyen, Phong Q.; Shparlinski, Igor E.
16
2003
Character sums over integers with restricted \(g\)-ary digits. Zbl 1026.11068
Banks, William D.; Conflitti, Alessandro; Shparlinski, Igor E.
16
2002
Orders of Gauss periods in finite fields. Zbl 0931.11057
von zur Gathen, Joachim; Shparlinski, Igor
16
1998
Prime numbers with Beatty sequences. Zbl 1167.11010
Banks, William D.; Shparlinski, Igor E.
15
2009
Dynamical systems generated by rational functions. Zbl 1030.11072
Niederreiter, Harald; Shparlinski, Igor E.
15
2003
Exponential sums and rational points on complete intersections. Zbl 0719.11086
Shparlinskij, Igor E.; Skorobogatov, Alexej N.
15
1990
On the energy of some circulant graphs. Zbl 1083.05029
Shparlinski, Igor
14
2006
On the linear complexity and multidimensional distribution of congruential generators over elliptic curves. Zbl 1116.14307
Hess, Florian; Shparlinski, Igor E.
14
2005
On the distribution of rational functions along a curve over \(\mathbb F_p\) and residue races. Zbl 1068.11043
Granville, Andrew; Shparlinski, Igor E.; Zaharescu, Alexandru
14
2005
Predicting nonlinear pseudorandom number generators. Zbl 1136.11316
Blackburn, Simon R.; Gomez-Perez, Domingo; Gutierrez, Jaime; Shparlinski, Igor E.
14
2005
Arithmetic properties of numbers with restricted digits. Zbl 1049.11003
Banks, William D.; Shparlinski, Igor E.
14
2004
On the linear and nonlinear complexity profile of nonlinear pseudorandom number generators. Zbl 1063.65005
Gutierrez, Jaime; Shparlinski, Igor E.; Winterhof, Arne
14
2003
Cancellations amongst Kloosterman sums. Zbl 1368.11092
Shparlinski, Igor E.; Zhang, Tianping
13
2016
On numbers \(n\) dividing the \(n\)th term of a linear recurrence. Zbl 1262.11015
Alba González, Juan José; Luca, Florian; Pomerance, Carl; Shparlinski, Igor E.
13
2012
Density of non-residues in Burgess-type intervals and applications. Zbl 1229.11006
Banks, W. D.; Garaev, M. Z.; Heath-Brown, D. R.; Shparlinski, I. E.
13
2008
On the distribution of points on multidimensional modular hyperbolas. Zbl 1123.11026
Shparlinski, Igor E.
13
2007
Certain exponential sums and random walks on elliptic curves. Zbl 1068.11078
Lange, Tanja; Shparlinski, Igor E.
13
2005
Predicting the inversive generator. Zbl 1123.94330
Blackburn, Simon R.; Gomez-Perez, Domingo; Gutierrez, Jaime; Shparlinski, Igor E.
13
2003
On Gaussian sums for finite fields and elliptic curves. Zbl 0846.11064
Shparlinski, I. E.
13
1992
Piatetski-Shapiro sequences. Zbl 1327.11062
Baker, Roger C.; Banks, William D.; Brüdern, Jörg; Shparlinski, Igor E.; Weingartner, Andreas J.
12
2013
Character sums with Fermat quotients. Zbl 1273.11126
Shparlinski, Igor E.
12
2011
Bounds of multiplicative character sums with Fermat quotients of primes. Zbl 1221.11004
Shparlinski, Igor E.
12
2011
On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators. Zbl 1227.11093
Ostafe, Alina; Shparlinski, Igor E.
12
2010
Distribution of modular inverses and multiples of small integers and the Sato-Tate conjecture on average. Zbl 1225.11101
Shparlinski, Igor E.
12
2008
Character sums and congruences with \(n!\). Zbl 1060.11046
Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor E.
12
2004
Exponential sums over Mersenne numbers. Zbl 1060.11045
Banks, William D.; Conflitti, Alessandro; Friedlander, John B.; Shparlinski, Igor E.
12
2004
On the linear complexity of the Naor-Reingold pseudo-random function from elliptic curves. Zbl 1077.11504
Shparlinski, Igor E.; Silverman, Joseph H.
12
2001
On the security of Diffie-Hellman bits. Zbl 0997.94548
González Vasco, Maria Isabel; Shparlinski, Igor E.
12
2001
On the distribution of pseudorandom numbers and vectors generated by inversive methods. Zbl 0999.11040
Niederreiter, Harald; Shparlinski, Igor E.
12
2000
Number theoretic methods in cryptography. Complexity lower bounds. Zbl 0912.11057
Shparlinski, Igor
12
1999
Multiplicative congruences with variables from short intervals. Zbl 1385.11002
Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E.
11
2014
On the value set of Fermat quotients. Zbl 1305.11003
Shparlinski, Igor E.
11
2012
On the consecutive powers of a primitive root: gaps and exponential sums. Zbl 1276.11005
Konyagin, Sergei V.; Shparlinski, Igor E.
11
2012
Multiplicative order of Gauss periods. Zbl 1201.11110
Ahmadi, Omran; Shparlinski, Igor E.; Voloch, José Felipe
11
2010
On the concentration of points on modular hyperbolas and exponential curves. Zbl 1198.11002
Chan, Tsz Ho; Shparlinski, Igor E.
11
2010
On the maximal difference between an element and its inverse in residue rings. Zbl 1131.11005
Ford, Kevin; Khan, Mizan R.; Shparlinski, Igor E.; Yankov, Christian L.
11
2005
Some doubly exponential sums over \({\mathbb Z}_m\). Zbl 1018.11041
Friedlander, John B.; Konyagin, Sergei; Shparlinski, Igor E.
11
2002
On finding primitive roots in finite fields. Zbl 0871.11091
Shparlinski, Igor
11
1996
Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
10
2017
Points on curves in small boxes and applications. Zbl 1316.11024
Chang, Mei-Chu; Cilleruelo, Javier; Garaev, Moubariz Z.; Hernández, José; Shparlinski, Igor E.; Zumalacárregui, Ana
10
2014
Indifferentiable deterministic hashing to elliptic and hyperelliptic curves. Zbl 1312.94048
Farashahi, Reza R.; Fouque, Pierre-Alain; Shparlinski, Igor E.; Tibouchi, Mehdi; Voloch, J. Felipe
10
2013
On group structures realized by elliptic curves over arbitrary finite fields. Zbl 1257.11060
Banks, William D.; Pappalardi, Francesco; Shparlinski, Igor E.
10
2012
Fermat quotients: exponential sums, value set and primitive roots. Zbl 1250.11005
Shparlinski, Igor E.
10
2011
On a generalisation of a Lehmer problem. Zbl 1269.11068
Shparlinski, Igor E.
10
2009
Products in residue classes. Zbl 1182.11046
Friedlander, John B.; Kurlberg, Pär; Shparlinski, Igor E.
10
2008
Distribution of some sequences of points on elliptic curves. Zbl 1129.14040
Lange, Tanja; Shparlinski, Igor E.
10
2007
On values taken by the largest prime factor of shifted primes. Zbl 1139.11038
Banks, William D.; Shparlinski, Igor E.
10
2007
On approximately symmetric informationally complete positive operator-valued measures and related systems of quantum states. Zbl 1110.81028
Klappenecker, Andreas; Rötteler, Martin; Shparlinski, Igor E.; Winterhof, Arne
10
2005
Prime divisors of sparse integers. Zbl 1049.11010
Shparlinski, I. E.
10
2003
On the maximal difference between an element and its inverse modulo \(n\). Zbl 1047.11003
Khan, M. R.; Shparlinski, I. E.
10
2003
On the distribution of nonlinear recursive congruential pseudorandom numbers of higher orders. Zbl 0958.11052
Griffin, Frances; Niederreiter, Harald; Shparlinski, Igor E.
10
1999
Functional graphs of polynomials over finite fields. Zbl 1327.05323
Konyagin, Sergei V.; Luca, Florian; Mans, Bernard; Mathieson, Luke; Sha, Min; Shparlinski, Igor E.
9
2016
Isomorphism classes of elliptic curves over a finite field in some thin families. Zbl 1285.11092
Cilleruelo, Javier; Shparlinski, Igor E.; Zumalacárregui, Ana
9
2012
On the number of solutions of exponential congruences. Zbl 1268.11048
Balog, Antal; Broughan, Kevin A.; Shparlinski, Igor E.
9
2011
On the length of critical orbits of stable quadratic polynomials. Zbl 1268.11155
Ostafe, Alina; Shparlinski, Igor E.
9
2010
On the solvability of bilinear equations in finite fields. Zbl 1246.11183
Shparlinski, Igor E.
9
2008
Distribution of matrices with restricted entries over finite fields. Zbl 1181.11030
Ahmadi, Omran; Shparlinski, Igor E.
9
2007
On some dynamical systems in finite fields and residue rings. Zbl 1127.11052
Shparlinski, Igor E.
9
2007
Double character sums over elliptic curves and finite fields. Zbl 1171.11046
Banks, William D.; Friedlander, John B.; Garaev, Moubariz Z.; Shparlinski, Igor E.
9
2006
On the exponent of the group of points on elliptic curves in extension fields. Zbl 1082.11041
Luca, Florian; Shparlinski, Igor E.
9
2005
Smooth orders and cryptographic applications. Zbl 1058.11059
Pomerance, Carl; Shparlinski, Igor E.
9
2002
On the spectral Ádám property for circulant graphs. Zbl 1035.05059
Mans, Bernard; Pappalardi, Francesco; Shparlinski, Igor
9
2002
On the multidimensional distribution of inversive congruential pseudorandom numbers in parts of the period. Zbl 1011.11053
Gutierrez, Jaime; Niederreiter, Harald; Shparlinski, Igor E.
9
2000
On certain exponential sums and the distribution of Diffie-Hellman triples. Zbl 0935.11028
Canetti, Ran; Friedlander, John; Shparlinski, Igor
9
1999
Counting curves and their projections. Zbl 0990.68642
von zur Gathen, Joachim; Karpinski, Marek; Shparlinski, Igor
9
1997
On the number of various prime divisors of recurrence sequence. Zbl 0635.10006
Shparlinskiĭ, I. E.
9
1987
Divisor problem in arithmetic progressions modulo a prime power. Zbl 1436.11103
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
8
2018
On the number of distinct elliptic curves in some families. Zbl 1269.11060
Farashahi, Reza Rezaeian; Shparlinski, Igor E.
8
2010
Pseudorandom number generators from elliptic curves. Zbl 1246.11135
Shparlinski, Igor E.
8
2009
Arithmetic functions on Beatty sequences. Zbl 1227.11045
Abercrombie, Alex G.; Banks, William D.; Shparlinski, Igor E.
8
2009
On the number of sign changes of Hecke eigenvalues of newforms. Zbl 1241.11053
Kohnen, Winfried; Lau, Yuk-Kam; Shparlinski, Igor E.
8
2008
Congruences with intervals and arbitrary sets. Zbl 07191876
Banks, William; Shparlinski, Igor
2
2020
On large values of Weyl sums. Zbl 1447.11086
Chen, Changhao; Shparlinski, Igor E.
1
2020
Kloosterman paths of prime powers moduli. II. Zbl 07202209
Ricotta, Guillaume; Royer, Emmanuel; Shparlinski, Igor
1
2020
On the complexity of exact counting of dynamically irreducible polynomials. Zbl 07151949
Gómez-Pérez, Domingo; Mérai, László; Shparlinski, Igor E.
1
2020
Unlikely intersections over finite fields: polynomial orbits in small subgroups. Zbl 07147532
Mérai, László; Shparlinski, Igor E.
1
2020
Distribution of short subsequences of inversive congruential pseudorandom numbers modulo \(2^t\). Zbl 1439.11186
Mérai, László; Shparlinski, Igor E.
1
2020
On sums of Kloosterman and Gauss sums. Zbl 1453.11105
Shparlinski, Igor E.
7
2019
Cancellations between Kloosterman sums modulo a prime power with prime arguments. Zbl 1441.11192
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
4
2019
Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems. Zbl 1403.37101
D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín
4
2019
On a sum involving the Euler function. Zbl 1454.11009
Bordellès, Olivier; Dai, Lixia; Heyman, Randell; Pan, Hao; Shparlinski, Igor E.
3
2019
Bounds of trilinear and quadrilinear exponential sums. Zbl 1454.11151
Petridis, Giorgis; Shparlinski, Igor E.
2
2019
On short products of primes in arithmetic progressions. Zbl 06998133
Shparlinski, Igor E.
2
2019
Double sums of Kloosterman sums in finite fields. Zbl 1447.11117
Macourt, Simon; Shparlinski, Igor E.
1
2019
Disjointness of the Möbius transformation and Möbius function. Zbl 1454.11147
El Abdalaoui, El Houcein; Shparlinski, Igor E.
1
2019
On functional graphs of quadratic polynomials. Zbl 1417.05088
Mans, Bernard; Sha, Min; Shparlinski, Igor E.; Sutantyo, Daniel
1
2019
On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem. Zbl 1442.11142
Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto
1
2019
Analogues of the Balog-Wooley decomposition for subsets of finite fields and character sums with convolutions. Zbl 07066612
Roche-Newton, Oliver; Shparlinski, Igor E.; Winterhof, Arne
1
2019
On the typical size and cancellations among the coefficients of some modular forms. Zbl 1450.11100
Luca, Florian; Radziwiłł, Maksym; Shparlinski, Igor E.
1
2019
Divisor problem in arithmetic progressions modulo a prime power. Zbl 1436.11103
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
8
2018
On multiplicatively dependent vectors of algebraic numbers. Zbl 1442.11134
Pappalardi, Francesco; Sha, Min; Shparlinski, Igor E.; Stewart, Cameron L.
3
2018
Orbits of polynomial dynamical systems modulo primes. Zbl 1416.37081
Chang, Mei-Chu; D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín
3
2018
Multiplicative energy of shifted subgroups and bounds on exponential sums with trinomials in finite fields. Zbl 1448.11213
Macourt, Simon; Shkredov, Ilya D.; Shparlinski, Igor E.
2
2018
The Sato-Tate distribution in thin parametric families of elliptic curves. Zbl 1426.11057
de la Bretèche, Régis; Sha, Min; Shparlinski, Igor E.; Voloch, José Felipe
2
2018
Linear equations with rational fractions of bounded height and stochastic matrices. Zbl 1422.11069
Shparlinski, Igor E.
2
2018
Multiplicative orders in orbits of polynomials over finite fields. Zbl 1431.11130
Shparlinski, Igor E.
2
2018
Polynomial interpolation and identity testing from high powers over finite fields. Zbl 1390.11128
Ivanyos, Gábor; Karpinski, Marek; Santha, Miklos; Saxena, Nitin; Shparlinski, Igor E.
2
2018
Bilinear forms with exponential sums with binomials. Zbl 1429.11069
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
2
2018
Double character sums with intervals and arbitrary sets. Zbl 07070257
Shkredov, Ilya D.; Shparlinski, Igor E.
1
2018
On abelian multiplicatively dependent points on a curve in a torus. Zbl 1440.11101
Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto
1
2018
Trilinear forms with double Kloosterman sums. Zbl 1447.11089
Shparlinski, Igor E.
1
2018
Denominators of Bernoulli polynomials. Zbl 1415.11121
Bordellès, Olivier; Luca, Florian; Moree, Pieter; Shparlinski, Igor E.
1
2018
Elliptic curves in isogeny classes. Zbl 1444.11122
Shparlinski, Igor E.; Zhao, Liangyi
1
2018
On the error term of a lattice counting problem. Zbl 1380.11085
Bordellès, Olivier; Luca, Florian; Shparlinski, Igor E.
1
2018
Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
10
2017
Orbits of algebraic dynamical systems in subgroups and subfields. Zbl 1393.37113
Ostafe, Alina; Shparlinski, Igor E.
4
2017
Double exponential sums with exponential functions. Zbl 1428.11143
Shparlinski, Igor E.; Yau, Kam Hung
3
2017
On some multiple character sums. Zbl 1427.11078
Shkredov, Ilya D.; Shparlinski, Igor E.
3
2017
On distances in lattices from algebraic number fields. Zbl 1433.11083
Dubickas, Artūras; Sha, Min; Shparlinski, Igor E.
2
2017
Squares in Piatetski-Shapiro sequences. Zbl 1428.11051
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
2
2017
Power series approximations to Fekete polynomials. Zbl 1427.11030
Bell, Jason; Shparlinski, Igor E.
2
2017
The Sato-Tate distribution in families of elliptic curves with a rational parameter of bounded height. Zbl 1410.11054
Sha, Min; Shparlinski, Igor E.
2
2017
On two functions arising in the study of the Euler and Carmichael quotients. Zbl 1425.11009
Luca, Florian; Sha, Min; Shparlinski, Igor E.
1
2017
Cancellations amongst Kloosterman sums. Zbl 1368.11092
Shparlinski, Igor E.; Zhang, Tianping
13
2016
Functional graphs of polynomials over finite fields. Zbl 1327.05323
Konyagin, Sergei V.; Luca, Florian; Mans, Bernard; Mathieson, Luke; Sha, Min; Shparlinski, Igor E.
9
2016
Products of small integers in residue classes and additive properties of Fermat quotients. Zbl 1414.11109
Harman, Glyn; Shparlinski, Igor E.
6
2016
Bounds of double multiplicative character sums and gaps between residues of exponential functions. Zbl 1419.11004
Shparlinski, Igor E.; Yau, Kam-hung
4
2016
Polynomial values in small subgroups of finite fields. Zbl 1407.11051
Shparlinski, Igor E.
3
2016
Linear congruences with ratios. Zbl 1383.11041
Shparlinski, Igor E.
3
2016
Almost primes of the form \(\lfloor p^c \rfloor\). Zbl 1355.11099
Banks, William D.; Guo, Victor Z.; Shparlinski, Igor E.
3
2016
Upper and lower bounds for higher moments of theta functions. Zbl 1409.11034
Munsch, Marc; Shparlinski, Igor E.
3
2016
Groups generated by iterations of polynomials over finite fields. Zbl 1347.11084
Shparlinski, Igor E.
3
2016
Counting co-cyclic lattices. Zbl 1348.11056
Nguyen, Phong Q.; Shparlinski, Igor E.
2
2016
On small gaps between the elements of multiplicative subgroups of finite fields. Zbl 1367.11040
Shparlinski, Igor E.
2
2016
Cyclotomic coefficients: gaps and jumps. Zbl 1405.11032
Camburu, Oana-Maria; Ciolan, Emil-Alexandru; Luca, Florian; Moree, Pieter; Shparlinski, Igor E.
2
2016
On bilinear exponential and character sums with reciprocals of polynomials. Zbl 1400.11123
Shparlinski, Igor E.
1
2016
Dynamical systems of non-algebraic origin: fixed points and orbit lengths. Zbl 1420.37119
Shparlinski, Igor E.
1
2016
On the additive energy of the distance set in finite fields. Zbl 1403.11078
Shparlinski, Igor E.
1
2016
Ratios of small integers in multiplicative subgroups of residue rings. Zbl 1403.11062
Shparlinski, Igor E.
1
2016
Fractional parts of Dedekind sums. Zbl 1419.11072
Banks, William D.; Shparlinski, Igor E.
1
2016
Averaging operators over homogeneous varieties over finite fields. Zbl 1346.43002
Koh, Doowon; Shen, Chun-Yen; Shparlinski, Igor
1
2016
On the density of integer points on generalised Markoff-Hurwitz and Dwork hypersurfaces. Zbl 1403.11026
Chang, Mei-Chu; Shparlinski, Igor E.
1
2016
Counting irreducible binomials over finite fields. Zbl 1371.11150
Heyman, Randell; Shparlinski, Igor E.
1
2016
Character sums and deterministic polynomial root finding in finite fields. Zbl 1400.11153
Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E.
5
2015
On the fixed points of the map \(x \mapsto x^x\) modulo a prime. Zbl 1393.11029
Kurlberg, Pär; Luca, Florian; Shparlinski, Igor E.
5
2015
Subgroups generated by rational functions in finite fields. Zbl 1395.11071
Gómez-Pérez, Domingo; Shparlinski, Igor E.
5
2015
Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves. Zbl 1384.11033
Sha, Min; Shparlinski, Igor E.
4
2015
Polynomial values in subfields and affine subspaces of finite fields. Zbl 1396.11016
Roche-Newton, Oliver; Shparlinski, Igor E.
4
2015
Congruences with intervals and subgroups modulo a prime. Zbl 1379.11004
Munsch, Marc; Shparlinski, Igor E.
3
2015
Quadratic non-residues in short intervals. Zbl 1378.11012
Konyagin, Sergei V.; Shparlinski, Igor E.
3
2015
Explicit form of Cassels’ \(p\)-adic embedding theorem for number fields. Zbl 1326.11062
Dubickas, Arturas; Sha, Min; Shparlinski, Igor
2
2015
On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average. Zbl 1400.11164
Shparlinski, Igor E.; Sutherland, Andrew V.
2
2015
Cayley graphs generated by small degree polynomials over finite fields. Zbl 1311.05083
Shparlinski, Igor E.
2
2015
Counting additive decompositions of quadratic residues in finite fields. Zbl 1393.11006
Blackburn, Simon R.; Konyagin, Sergei V.; Shparlinski, Igor E.
1
2015
Close values of shifted modular inversions and the decisional modular inversion hidden number problem. Zbl 1369.11100
Shparlinski, Igor E.
1
2015
On the product of small Elkies primes. Zbl 1317.11061
Shparlinski, Igor E.
1
2015
Multiplicative congruences with variables from short intervals. Zbl 1385.11002
Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E.
11
2014
Points on curves in small boxes and applications. Zbl 1316.11024
Chang, Mei-Chu; Cilleruelo, Javier; Garaev, Moubariz Z.; Hernández, José; Shparlinski, Igor E.; Zumalacárregui, Ana
10
2014
On irreducible divisors of iterated polynomials. Zbl 1339.11099
Gómez-Pérez, Domingo; Ostafe, Alina; Shparlinski, Igor E.
5
2014
Double character sums over subgroups and intervals. Zbl 1316.11076
Chang, Mei-Chu; Shparlinski, Igor E.
5
2014
On the distribution of Atkin and Elkies primes. Zbl 1312.11048
Shparlinski, Igor E.; Sutherland, Andrew V.
5
2014
Elements of large order on varieties over prime finite fields. Zbl 1366.11084
Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E.; Zannier, Umberto
4
2014
Products with variables from low-dimensional affine spaces and shifted power identity testing in finite fields. Zbl 1373.11081
Shparlinski, Igor E.
4
2014
On shifted Eisenstein polynomials. Zbl 1340.11030
Heyman, Randell; Shparlinski, Igor E.
3
2014
On the multidimensional distribution of the Naor-Reingold pseudo-random function. Zbl 1315.11067
Ling, San; Shparlinski, Igor; Wang, Huaxiong
3
2014
On the counting function of elliptic Carmichael numbers. Zbl 1331.11115
Luca, Florian; Shparlinski, Igor E.
3
2014
Algebraic entropy, automorphisms and sparsity of algebraic dynamical systems and pseudorandom number generators. Zbl 1294.11131
Gómez-Pérez, Domingo; Ostafe, Alina; Shparlinski, Igor
3
2014
Covering sets for limited-magnitude errors. Zbl 1360.11026
Chen, Zhixiong; Shparlinski, Igor E.; Winterhof, Arne
2
2014
On the distribution of points on the generalized Markoff-Hurwitz and Dwork hypersurfaces. Zbl 1329.11026
Shparlinski, Igor E.
2
2014
Periodic structure of the exponential pseudorandom number generator. Zbl 1368.11085
Kaszián, Jonas; Moree, Pieter; Shparlinski, Igor E.
1
2014
Interpolation and approximation of polynomials in finite fields over a short interval from noisy values. Zbl 1310.11117
Garcia-Morchon, Oscar; Rietman, Ronald; Shparlinski, Igor E.; Tolhuizen, Ludo
1
2014
Random walks, bisections and gossiping in circulant graphs. Zbl 1306.05227
Mans, Bernard; Shparlinski, Igor
1
2014
Generators of elliptic curves over finite fields. Zbl 1316.11055
Shparlinski, Igor E.; Voloch, José Felipe
1
2014
Distribution of exponential functions modulo a prime power. Zbl 1356.11002
Shparlinski, Igor E.
1
2014
Multiple exponential and character sums with monomials. Zbl 1304.11083
Shparlinski, Igor E.
1
2014
Squarefree parts of discriminants of trinomials. Zbl 1316.11083
Shparlinski, Igor E.
1
2014
Distribution of elliptic twin primes in isogeny and isomorphism classes. Zbl 1317.11097
Shparlinski, Igor E.; Sutantyo, Daniel
1
2014
On congruences with products of variables from short intervals and applications. Zbl 1301.11041
Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E.
17
2013
Piatetski-Shapiro sequences. Zbl 1327.11062
Baker, Roger C.; Banks, William D.; Brüdern, Jörg; Shparlinski, Igor E.; Weingartner, Andreas J.
12
2013
Indifferentiable deterministic hashing to elliptic and hyperelliptic curves. Zbl 1312.94048
Farashahi, Reza R.; Fouque, Pierre-Alain; Shparlinski, Igor E.; Tibouchi, Mehdi; Voloch, J. Felipe
10
2013
Additive decompositions of subgroups of finite fields. Zbl 1287.11120
Shparlinski, Igor E.
7
2013
...and 417 more Documents
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Cited by 1,341 Authors

274 Shparlinski, Igor E.
68 Luca, Florian
52 Winterhof, Arne
26 Garaev, Moubariz Z.
25 Ostafe, Alina
22 Banks, William D.
20 Shkredov, Il’ya Dmitrievich
18 Sha, Min
17 Chen, Zhixiong
16 Bourgain, Jean
16 Chang, Mei-Chu
15 Gomez-Perez, Domingo
15 von zur Gathen, Joachim
14 Cilleruelo, Javier
14 Konyagin, Sergeĭ Vladimirovich
14 Niederreiter, Harald
13 Meidl, Wilfried
13 Mérai, László
12 Ahmadi, Omran
12 Ballet, Stéphane
12 Panario, Daniel
11 Bell, Jason P.
11 Dubickas, Artūras
11 Korolëv, Maksim Aleksandrovich
11 Sanna, Carlo
11 Vinh, Le Anh
10 Gutierrez, Jaime
10 Koh, Doowon
9 Bašić, Milan
9 Farashahi, Reza Rezaeian
9 Friedlander, John Benjamin
9 Zaharescu, Alexandru
8 Gómez, Domingo
8 Munsch, Marc
7 Cochrane, Todd
7 Ford, Kevin B.
7 Ilić, Aleksandar
7 Kerr, Bryce
7 Wan, Daqing
7 Zhang, Tianping
6 Baier, Stephan
6 Blake, Ian F.
6 Cojocaru, Alina Carmen
6 Galbraith, Steven D.
6 Gao, Shuhong
6 Micheli, Giacomo
6 Moree, Pieter
6 Pappalardi, Francesco
6 Pollack, Paul
6 Voloch, José Felipe
6 Zhang, Wenpeng
5 Aly, Hassan Y.
5 Cao, Xiwang
5 Cheng, Qi
5 Cohen, Stephen D.
5 Dartyge, Cécile
5 Du, Xiaoni
5 El-Mahassni, Edwin D.
5 García, Victor Cuauhtemoc
5 Harvey, David I.
5 Ibeas, Álvar
5 Karpinski, Marek
5 Lange, Tanja
5 Macourt, Simon
5 Mauduit, Christian
5 Mefenza, Thierry
5 Mkaouar, Mohamed
5 Murty, Maruti Ram
5 Pham Van Thang
5 Reis, Lucas
5 Sander, Jürgen W.
5 Sárközy, András
5 Shani, Barak
5 Shen, Chun-Yen
5 Shteĭnikov, Yuriĭ Nikolaevich
5 Tibouchi, Mehdi
5 Topuzoǧlu, Alev
5 Wu, Chenhuang
5 Yau, Kam-hung
5 Zumalacárregui, Ana
4 Blackburn, Simon R.
4 Dietmann, Rainer
4 Elsholtz, Christian
4 Garefalakis, Theo
4 Garton, Derek
4 Goryashin, Dmitriĭ Viktorovich
4 Grau, José María
4 Grigor’ev, Dmitriĭ Yur’evich
4 Heyman, Randell
4 Hu, Lei
4 Jiménez-Urroz, Jorge
4 Jones, Lenny K.
4 Jones, Rafe
4 Knopfmacher, Arnold
4 Leedham-Green, Charles R.
4 Li, Jiyou
4 Mak, Kit-Ho
4 Mans, Bernard
4 Meletiou, Gerasimos C.
4 Mokhtar, Hamid
...and 1,241 more Authors
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Cited in 198 Serials

121 Journal of Number Theory
89 Finite Fields and their Applications
52 Designs, Codes and Cryptography
49 International Journal of Number Theory
47 Mathematics of Computation
43 Proceedings of the American Mathematical Society
38 Bulletin of the Australian Mathematical Society
28 Journal of Symbolic Computation
28 Linear Algebra and its Applications
27 Information Processing Letters
26 Monatshefte für Mathematik
24 Mathematical Notes
23 Acta Arithmetica
22 Theoretical Computer Science
21 Applicable Algebra in Engineering, Communication and Computing
20 Discrete Applied Mathematics
18 Indagationes Mathematicae. New Series
17 Transactions of the American Mathematical Society
17 Journal of Complexity
16 Periodica Mathematica Hungarica
15 Mathematika
15 Journal de Théorie des Nombres de Bordeaux
14 Israel Journal of Mathematics
14 Proceedings of the Steklov Institute of Mathematics
12 Integers
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Journal of Algebra
11 Experimental Mathematics
11 The Ramanujan Journal
11 Journal of Mathematical Cryptology
10 Archiv der Mathematik
10 Functiones et Approximatio. Commentarii Mathematici
10 Mathematische Zeitschrift
10 Advances in Mathematics of Communications
9 Discrete Mathematics
9 Cryptography and Communications
8 Rocky Mountain Journal of Mathematics
8 Acta Mathematica Sinica. English Series
7 Journal d’Analyse Mathématique
7 Glasgow Mathematical Journal
7 Michigan Mathematical Journal
7 Revista Matemática Iberoamericana
7 Chebyshevskiĭ Sbornik
6 Linear and Multilinear Algebra
6 Advances in Mathematics
6 Applied Mathematics Letters
6 Forum Mathematicum
6 Journal of Mathematical Sciences (New York)
6 Journal of the Australian Mathematical Society
5 Journal of Mathematical Physics
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Applied Mathematics and Computation
5 Mathematische Annalen
5 Acta Mathematica Hungarica
5 Algorithmica
5 SIAM Journal on Discrete Mathematics
5 Computational Complexity
5 Wuhan University Journal of Natural Sciences (WUJNS)
5 LMS Journal of Computation and Mathematics
5 Quantum Information Processing
5 Science China. Mathematics
5 Research in Number Theory
4 Indian Journal of Pure & Applied Mathematics
4 Journal of Mathematical Analysis and Applications
4 Lithuanian Mathematical Journal
4 Inventiones Mathematicae
4 Journal of Combinatorial Theory. Series A
4 Journal of Pure and Applied Algebra
4 European Journal of Combinatorics
4 Journal of Cryptology
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Annals of Combinatorics
4 Research in the Mathematical Sciences
3 Computers & Mathematics with Applications
3 Canadian Mathematical Bulletin
3 Czechoslovak Mathematical Journal
3 Duke Mathematical Journal
3 Journal of Computer and System Sciences
3 Manuscripta Mathematica
3 Pacific Journal of Mathematics
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Quaestiones Mathematicae
3 The Journal of Fourier Analysis and Applications
3 Journal of Inequalities and Applications
3 Journal of Discrete Mathematical Sciences & Cryptography
3 Journal of the European Mathematical Society (JEMS)
3 Journal of Systems Science and Complexity
3 International Journal of Quantum Information
3 Science China. Information Sciences
3 Forum of Mathematics, Sigma
2 Problems of Information Transmission
2 Ukrainian Mathematical Journal
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Bulletin of the London Mathematical Society
2 Canadian Journal of Mathematics
2 Information Sciences
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Approximation Theory
2 Journal of Functional Analysis
2 Proceedings of the Japan Academy. Series A
...and 98 more Serials
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Cited in 44 Fields

1,070 Number theory (11-XX)
232 Information and communication theory, circuits (94-XX)
137 Combinatorics (05-XX)
134 Computer science (68-XX)
102 Algebraic geometry (14-XX)
59 Dynamical systems and ergodic theory (37-XX)
54 Numerical analysis (65-XX)
42 Field theory and polynomials (12-XX)
39 Group theory and generalizations (20-XX)
32 Linear and multilinear algebra; matrix theory (15-XX)
27 Quantum theory (81-XX)
26 Commutative algebra (13-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
13 Probability theory and stochastic processes (60-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
10 Convex and discrete geometry (52-XX)
8 Functions of a complex variable (30-XX)
8 Functional analysis (46-XX)
6 Associative rings and algebras (16-XX)
6 Special functions (33-XX)
6 Abstract harmonic analysis (43-XX)
5 Mathematical logic and foundations (03-XX)
5 Real functions (26-XX)
5 Geometry (51-XX)
4 Nonassociative rings and algebras (17-XX)
4 Topological groups, Lie groups (22-XX)
4 Approximations and expansions (41-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Biology and other natural sciences (92-XX)
3 History and biography (01-XX)
3 Measure and integration (28-XX)
3 Sequences, series, summability (40-XX)
3 Operator theory (47-XX)
3 Operations research, mathematical programming (90-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Ordinary differential equations (34-XX)
2 Partial differential equations (35-XX)
2 Difference and functional equations (39-XX)
1 Category theory; homological algebra (18-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Fluid mechanics (76-XX)

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