×
Author ID: berndt.bruce-c Recent zbMATH articles by "Berndt, Bruce Carl"
Published as: Berndt, Bruce C.; Berndt, B. C.; Berndt, Bruce
Homepage: https://faculty.math.illinois.edu/~berndt/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
all top 5

Co-Authors

92 single-authored
39 Zaharescu, Alexandru
23 Chan, Heng Huat
19 Yee, Ae Ja
16 Evans, Ronald J.
13 Andrews, George Eyre
12 Dixit, Atul
11 Zhang, Liangcheng
9 Sohn, Jaebum
8 Diamond, Harold George
7 Baruah, Nayandeep Deka
7 Chan, Song Heng
7 Hildebrand, Adolf J.
7 Wilson, Bertram Martin
5 Gupta, Rajat
5 Rankin, Robert Alexander
4 Bennett, Michael A.
4 Boston, Nigel
4 Kang, Soon-Yi
4 Liaw, Wen-Chin
4 Ono, Ken
4 Philipp, Walter
3 Alladi, Krishnaswami
3 Biagioli, Anthony J. F.
3 Bialek, Paul R.
3 Huang, Sen-Shan
3 Huber, Tim
3 Kim, Byungchan
3 Lamphere, Robert L.
3 Purtilo, James M.
3 Ramanujan, Srinivasa
3 Son, Seung Hwan
3 Straub, Armin
3 Yeap, Boon Pin
3 Yesilyurt, Hamza
2 Chan, O-Yeat
2 Choi, Geumlan
2 Choi, Youn-Seo
2 Choie, YoungJu
2 Chowla, Sarvadaman
2 Fassina, Martino
2 Gesztesy, Fritz
2 Gugg, Chadwick
2 Hafner, James Lee
2 Joshi, Padmini T.
2 Lorentzen, Lisa
2 Malik, Amita
2 Paule, Peter
2 Rebák, Örs
2 Schoenfeld, Lowell
2 Sellers, James Allen
2 Venkatachaliengar, K.
2 Williams, Kenneth S.
2 Xu, Ping
2 Yi, Jinhee
2 Zhou, Roberta Rui
1 Adiga, Chandrashekar
1 Agarwal, Ashok Kumar
1 Ahlgren, Scott D.
1 Alladi, Krishna
1 Almkvist, Gert
1 Askey, Richard Allen
1 Baruah, Deka Nayandeep
1 Beck, Matthias
1 Borwein, Jonathan Michael
1 Bowman, Douglas C.
1 Chan, Huat Heng
1 Chu, Wenchang
1 Cooper, Shaun
1 de Azevedo Pribitkin, Wladimir
1 Dieter, Ulrich
1 Galway, William F.
1 Garvan, Frank G.
1 Glasser, M. Lawrence
1 Goldberg, Larry A.
1 Hahn, Heekyoung
1 Halberstam, Heini
1 Hardy, Godfrey Harold
1 Hart, William B.
1 Hill, James Murray
1 Knopp, Marvin Isadore
1 Kohnen, Winfried
1 Kongsiriwong, Sarachai
1 Koukoulopoulos, Dimitris
1 Krattenthaler, Christian Friedrich
1 Lamb, George L. jun.
1 Lee, Yoonbok
1 Li, Junxian
1 Lim, Sung-Geun
1 Liu, Zhi-Guo
1 Mullen, Gary L.
1 Phaovibul, M. Tip
1 Pongsriiam, Prapanpong
1 Prasad, Dipendra
1 Ramachandra, Kanakanahalli
1 Ramanathan, Kollagunta G.
1 Reddi, C. A.
1 Reuter, Victoria J.
1 Robles, Nicolas
1 Rogers, Mathew D.
1 Roy, Arindam
...and 11 more Co-Authors
all top 5

Serials

14 The Ramanujan Journal
12 American Mathematical Monthly
12 Proceedings of the American Mathematical Society
12 Transactions of the American Mathematical Society
11 Acta Arithmetica
11 Advances in Mathematics
9 Journal für die Reine und Angewandte Mathematik
8 Journal of Number Theory
6 Glasgow Mathematical Journal
6 International Journal of Number Theory
4 Journal of Mathematical Analysis and Applications
4 Illinois Journal of Mathematics
4 Journal of the London Mathematical Society. Second Series
4 Mathematische Annalen
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Annals of Combinatorics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Rocky Mountain Journal of Mathematics
3 Bulletin of the London Mathematical Society
3 Journal of Combinatorial Theory. Series A
3 Journal of Computational and Applied Mathematics
3 Memoirs of the American Mathematical Society
3 Hardy-Ramanujan Journal
3 Bulletin of the American Mathematical Society
3 Contemporary Mathematics
3 Progress in Mathematics
3 Ramanujan Mathematical Society Lecture Notes Series
2 Mathematics Magazine
2 Canadian Journal of Mathematics
2 Canadian Mathematical Bulletin
2 Indian Journal of Mathematics
2 Journal of Approximation Theory
2 The Journal of the Indian Mathematical Society. New Series
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 Advances in Applied Mathematics
2 Journal of the Ramanujan Mathematical Society
2 IMRN. International Mathematics Research Notices
2 Aequationes Mathematicae
2 L’Enseignement Mathématique. 2e Série
2 SIAM Journal on Mathematical Analysis
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Notices of the American Mathematical Society
2 RIMS Kokyuroku
2 South East Asian Journal of Mathematics and Mathematical Sciences
2 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique
2 History of Mathematics (Providence)
2 Trends in Mathematics
1 Applicable Analysis
1 The Mathematical Intelligencer
1 Duke Mathematical Journal
1 Gaṇita
1 Journal of the Korean Mathematical Society
1 The Mathematics Student
1 Mathematika
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Results in Mathematics
1 International Journal of Mathematics
1 Elemente der Mathematik
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Combinatorics
1 Mathematical Research Letters
1 Séminaire Lotharingien de Combinatoire
1 Acta Mathematica Sinica. English Series
1 The Quarterly Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Nordisk Matematisk Tidskrift
1 Canadian Mathematical Society Series of Monographs and Advanced Texts
1 Student Mathematical Library
1 Developments in Mathematics
1 Culture and History of Mathematics
1 Monographs in Number Theory
1 Mathematics Newsletter
1 Research in the Mathematical Sciences
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Publications by Year

Citations contained in zbMATH Open

221 Publications have been cited 4,871 times in 2,877 Documents Cited by Year
Ramanujan’s notebooks. Part III. Zbl 0733.11001
Berndt, Bruce C.
650
1991
Gauss and Jacobi sums. Zbl 0906.11001
Berndt, Bruce C.; Evans, Ronald J.; Williams, Kenneth S.
353
1998
Ramanujan’s notebooks. Part I. Zbl 0555.10001
Berndt, Bruce C.
250
1985
Number theory in the spirit of Ramanujan. Zbl 1117.11001
Berndt, Bruce C.
247
2006
Ramanujan’s lost notebook. I. Zbl 1075.11001
Andrews, George E.; Berndt, Bruce C.
233
2005
Ramanujan’s notebooks. Part II. Zbl 0716.11001
Berndt, Bruce C.
223
1989
Ramanujan’s notebooks. Part IV. Zbl 0785.11001
Berndt, Bruce C.
207
1994
Ramanujan’s notebooks. Part V. Zbl 0886.11001
Berndt, Bruce C.
205
1998
Ramanujan’s lost notebook. Part II. Zbl 1180.11001
Andrews, George E.; Berndt, Bruce C.
142
2009
Ramanujan’s theories of elliptic functions to alternative bases. Zbl 0843.33012
Berndt, Bruce C.; Bhargava, S.; Garvan, Frank G.
105
1995
Ramanujan: Letters and commentary. Zbl 0842.01026
Berndt, Bruce C.; Rankin, Robert A.
74
1995
On the Hurwitz zeta-function. Zbl 0229.10023
Berndt, Bruce C.
70
1972
Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan. Zbl 0384.10011
Berndt, Bruce C.
66
1978
The determination of Gauss sums. Zbl 0471.10028
Berndt, Bruce C.; Evans, Ronald J.
60
1981
Chapter 16 of Ramanujan’s second notebook: Theta-functions and q-series. Zbl 0565.33002
Adiga, C.; Berndt, Bruce C.; Bhargava, S.; Watson, G. N.
50
1985
Modular transformations and generalizations of several formulae of Ramanujan. Zbl 0365.10021
Berndt, Bruce C.
50
1977
Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar and B. M. Wilson. With a new preface and commentary by Bruce C. Berndt. Third printing of the 1927 original. Zbl 1110.11001
Ramanujan, Srinivasa
48
2000
Ramanujan’s series for \(1/\pi \): a survey. Zbl 1229.11162
Baruah, Deka Nayandeep; Berndt, Bruce C.; Chan, Huat Heng
48
2009
Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, \(\pi\) , and the Ladies Diary. Zbl 0665.26007
Almkvist, Gert; Berndt, Bruce C.
47
1988
Explicit evaluations and reciprocity theorems for finite trigonometric sums. Zbl 1011.11057
Berndt, Bruce C.; Yeap, Boon Pin
43
2002
Ramanujan’s lost notebook. Part III. Zbl 1248.11003
Andrews, George E.; Berndt, Bruce C.
40
2012
Sums of Gauss, Jacobi, and Jacobsthal. Zbl 0412.10027
Berndt, Bruce C.; Evans, Ronald J.
40
1979
Ramanujan’s lost notebook. Part IV. Zbl 1288.11002
Andrews, George E.; Berndt, Bruce C.
40
2013
The number of zeros for \(\zeta^{(k)}(s)\). Zbl 0203.35503
Berndt, Bruce C.
37
1970
Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications. Zbl 0316.10023
Berndt, Bruce C.
36
1975
The continued fractions found in the unorganized portions of Ramanujan’s notebooks. Zbl 0758.40001
Andrews, George E.; Berndt, Bruce C.; Jacobsen, Lisa; Lamphere, Robert L.
32
1992
Partition identities and Ramanujan’s modular equations. Zbl 1206.11132
Baruah, Nayandeep Deka; Berndt, Bruce C.
31
2007
Ramanujan’s lost notebook. Part V. Zbl 1416.11001
Andrews, George E.; Berndt, Bruce C.
29
2018
Reciprocity theorems for Dedekind sums and generalizations. Zbl 0342.10014
Berndt, Bruce C.
28
1977
Ramanujan’s unpublished manuscript on the partition and tau functions with proofs and commentary. Zbl 0932.11002
Berndt, Bruce C.; Ono, Ken
26
1999
Identities involving the coefficients of a class of Dirichlet series. I,II. Zbl 0175.32802
Berndt, Bruce C.
26
1969
Finite trigonometric sums and class numbers. Zbl 1099.11039
Berndt, Bruce C.; Zaharescu, Alexandru
26
2004
Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005
Baruah, Nayandeep Deka; Berndt, Bruce C.
25
2010
Asymptotic expansions of certain partial theta functions. Zbl 1272.11057
Berndt, Bruce C.; Kim, Byungchan
25
2011
Sixth order mock theta functions. Zbl 1122.33010
Berndt, Bruce C.; Chan, Song Heng
24
2007
Classical theorems on quadratic residues. Zbl 0337.10031
Berndt, Bruce C.
23
1976
Explicit evaluations of the Rogers-Ramanujan continued fraction. Zbl 0862.33017
Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng
23
1996
Ramanujan’s forty identities for the Rogers-Ramanujan functions. Zbl 1118.11044
Berndt, Bruce C.; Choi, Geumlan; Choi, Youn-Seo; Hahn, Heekyoung; Yeap, Boon Pin; Yee, Ae Ja; Yesilyurt, Hamza; Yi, Jinhee
22
2007
Some values for the Rogers-Ramanujan continued fraction. Zbl 0838.33011
Berndt, Bruce C.; Chan, Heng Huat
22
1995
Generalized Dedekind eta-functions and generalized Dedekind sums. Zbl 0262.10015
Berndt, Bruce C.
22
1973
Hecke’s theory of modular forms and Dirichlet series. Zbl 1202.11030
Berndt, Bruce C.; Knopp, Marvin I.
22
2008
Ramanujan’s series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions. Zbl 1139.11023
Baruah, Nayandeep Deka; Berndt, Bruce C.
21
2008
Analytic properties of arithmetic sums arising in the theory of the classical theta-functions. Zbl 0537.10006
Berndt, Bruce C.; Goldberg, Larry A.
21
1984
Generalized Eisenstein series and modified Dedekind sums. Zbl 0294.10018
Berndt, Bruce C.
20
1975
Dedekind sums and a paper of G. H. Hardy. Zbl 0319.10006
Berndt, Bruce C.
20
1976
Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan. Zbl 1131.05008
Berndt, Bruce C.
19
2007
Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory. Zbl 0268.10008
Berndt, Bruce C.; Schoenfeld, Lowell
19
1974
The Rogers-Ramanujan continued fraction. Zbl 0953.11005
Berndt, Bruce C.; Chan, Heng Huat; Huang, Sen-Shan; Kang, Soon-Yi; Sohn, Jaebum; Son, Seung Hwan
17
1999
On Ramanujan’s quartic theory of elliptic functions. Zbl 1005.33009
Berndt, Bruce C.; Chan, Heng Huat; Liaw, Wen-Chin
17
2001
Ramanujan’s notebooks. Zbl 0389.10002
Berndt, Bruce C.
17
1978
On a secant Dirichlet series and Eichler integrals of Eisenstein series. Zbl 1402.11060
Berndt, Bruce C.; Straub, Armin
17
2016
Ramanujan’s identities for Eta-functions. Zbl 0737.11008
Berndt, Bruce C.; Zhang, Liang-Cheng
16
1992
Sums of Gauß, Eisenstein, Jacobi, Jacobsthal, and Brewer. Zbl 0393.12029
Berndt, Bruce C.; Evans, Ronald J.
16
1979
Ramanujan’s lost notebook: combinatorial proofs of identities associated with Heine’s transformation or partial theta functions. Zbl 1227.05053
Berndt, Bruce C.; Kim, Byungchan; Yee, Ae Ja
16
2010
Ramanujan’s formula for \(\zeta(2n + 1)\). Zbl 1497.11198
Berndt, Bruce C.; Straub, Armin
16
2017
The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society. Zbl 1133.11300
Berndt, Bruce C.; Choi, Youn-Seo; Kang, Soon-Yi
15
1999
Identities involving the coefficients of a class of Dirichlet series. III. Zbl 0191.33003
Berndt, Bruce C.
15
1969
New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan. Zbl 1396.11103
Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru
15
2017
Some theorems on the Rogers-Ramanujan continued fraction in Ramanujan’s lost notebook. Zbl 1037.11011
Berndt, Bruce C.; Huang, Sen-Shan; Sohn, Jaebum; Son, Seung Hwan
14
2000
Ramanujan’s remarkable product of theta-functions. Zbl 0901.33007
Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng
14
1997
Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series. Zbl 1033.11019
Berndt, Bruce C.; Bialek, Paul R.; Yee, Ae Ja
14
2002
A new identity for \((q;q)_\infty^{10}\) with an application to Ramanujan’s partition congruence modulo 11. Zbl 1060.11063
Berndt, Bruce C.; Chan, Song Heng; Liu, Zhi-Guo; Yesilyurt, Hamza
14
2004
Elementary evaluation of \(\zeta(2n)\). Zbl 0303.10038
Berndt, Bruce C.
14
1975
Cranks and dissections in Ramanujan’s lost notebook. Zbl 1114.11082
Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin
14
2005
On the Brocard-Ramanujan Diophantine equation \(n! + 1 = m^2\). Zbl 0999.11078
Berndt, Bruce C.; Galway, William F.
13
2000
Ramanujan’s class invariants and cubic continued fraction. Zbl 0843.11007
Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng
13
1995
Koshliakov’s formula and Guinand’s formula in Ramanujan’s lost notebook. Zbl 1183.33007
Berndt, Bruce C.; Lee, Yoonbok; Sohn, Jaebum
13
2008
Ramanujan and the modular \(j\)-invariant. Zbl 0990.11022
Berndt, Bruce C.; Chan, Heng Huat
13
1999
Combinatorial proofs of identities in Ramanujan’s lost notebook associated with the Rogers-Fine identity and false theta functions. Zbl 1037.05005
Berndt, Bruce C.; Yee, Ae Ja
13
2003
On Eisenstein series with characters and the values of Dirichlet L-functions. Zbl 0279.10023
Berndt, Bruce C.
13
1975
A certain quotient of eta-functions found in Ramanujan’s lost notebook. Zbl 1054.11022
Berndt, Bruce C.; Chan, Heng Huat; Kang, Soon-Yi; Zhang, Liang-Cheng
13
2002
Weighted divisor sums and Bessel function series. II. Zbl 1236.33010
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
12
2012
Eisenstein series and approximations to \(\pi\). Zbl 0998.33003
Berndt, Bruce C.; Chan, Heng Huat
12
2001
On the parity of partition functions. Zbl 1047.11098
Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru
12
2003
Weighted divisor sums and Bessel function series. Zbl 1100.33001
Berndt, Bruce C.; Zaharescu, Alexandru
12
2006
A transformation formula involving the gamma and Riemann zeta functions in Ramanujan’s lost notebook. Zbl 1322.11086
Berndt, Bruce C.; Dixit, Atul
12
2010
Circle and divisor problems, and double series of Bessel functions. Zbl 1326.11059
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
12
2013
A reciprocity theorem for certain \(q\)-series found in Ramanujan’s lost notebook. Zbl 1123.33012
Berndt, Bruce C.; Chan, Song Heng; Yeap, Boon Pin; Yee, Ae Ja
11
2007
Eisenstein series in Ramanujan’s Lost Notebook. Zbl 1024.11026
Berndt, Bruce C.; Chan, Heng Huat; Sohn, Jaebum; Son, Seung Hwan
11
2000
On the zeros of a class of Dirichlet series. I. Zbl 0188.34701
Berndt, Bruce C.
11
1970
Identities involving the coefficients of a class of Dirichlet series. V. Zbl 0228.10024
Berndt, Bruce C.
11
1971
Character transformation formulae similar to those for the Dedekind eta- function. Zbl 0265.10016
Berndt, Bruce C.
11
1973
Chapter 12 of Ramanujan’s second notebook: Continued fractions. Zbl 0589.33002
Berndt, Bruce C.; Lamphere, Robert L.; Wilson, B. M.
11
1985
Determinations of analogues of Gauss sums and other trigonometric sums. Zbl 1088.11064
Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru
11
2005
Partition identities arising from theta function identities. Zbl 1154.11036
Baruah, Nayandeep Deka; Berndt, Bruce C.
11
2008
Identities involving the coefficients of a class of Dirichlet series. IV. Zbl 0207.05504
Berndt, Bruce C.
10
1970
Modular equations in Ramanujan’s Lost Notebook. Zbl 0989.11021
Berndt, Bruce C.
10
2000
Two new proofs of Lerch’s functional equation. Zbl 0235.10020
Berndt, Bruce C.
10
1972
Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations. Zbl 0885.11058
Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng
10
1997
Sums involving the greatest integer function and Riemann-Stieltjes integration. Zbl 0487.10002
Berndt, Bruce C.; Dieter, Ulrich
9
1982
Generalized Dirichlet series and Hecke’s functional equation. Zbl 0207.05503
Berndt, Bruce C.
9
1967
On the average order of a class of arithmetical functions. I. Zbl 0216.31303
Berndt, Bruce C.
9
1971
On the average order of a class of arithmetical functions. II. Zbl 0219.10050
Berndt, Bruce C.
9
1971
Periodic Bernoulli numbers, summation formulas and applications. Zbl 0326.10016
Berndt, Bruce C.
9
1975
Ramanujan’s theory of theta-functions. Zbl 0801.11024
Berndt, Bruce C.
9
1993
A new class of theta-function identities originating in Ramanujan’s notebooks. Zbl 0812.11028
Berndt, Bruce C.; Zhang, Liang-Cheng
9
1994
Weighted divisor sums and Bessel function series. III. Zbl 1326.11057
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
9
2013
Incomplete elliptic integrals in Ramanujan’s lost notebook. Zbl 0971.33012
Berndt, Bruce C.; Chan, Heng Huat; Huang, Sen-Shan
8
2000
Ramanujan’s short unpublished manuscript on integrals and series related to Euler’s constant. Zbl 0964.40004
Berndt, Bruce C.; Bowman, Douglas C.
8
2000
Ramanujan: essays and surveys. Zbl 1117.11002
8
2001
A class of identities associated with Dirichlet series satisfying Hecke’s functional equation. Zbl 1522.33005
Berndt, Bruce C.; Dixit, Atul; Gupta, Rajat; Zaharescu, Alexandru
3
2022
Four identities for third order mock theta functions. Zbl 1455.11136
Andrews, George E.; Berndt, Bruce C.; Chan, Song Heng; Kim, Sun; Malik, Amita
7
2020
The final problem: an identity from Ramanujan’s lost notebook. Zbl 1431.33005
Berndt, Bruce C.; Li, Junxian; Zaharescu, Alexandru
3
2019
Ramanujan’s lost notebook. Part V. Zbl 1416.11001
Andrews, George E.; Berndt, Bruce C.
29
2018
The circle problem of Gauss and the divisor problem of Dirichlet – still unsolved. Zbl 1396.11001
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
8
2018
Partitions into \(k\)th powers of terms in an arithmetic progression. Zbl 1412.11129
Berndt, Bruce C.; Malik, Amita; Zaharescu, Alexandru
7
2018
Sums of squares and products of Bessel functions. Zbl 1451.11024
Berndt, Bruce C.; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru
6
2018
Ramanujan’s formula for \(\zeta(2n + 1)\). Zbl 1497.11198
Berndt, Bruce C.; Straub, Armin
16
2017
New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan. Zbl 1396.11103
Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru
15
2017
On a theorem of A. I. Popov on sums of squares. Zbl 1422.11077
Berndt, Bruce C.; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru
3
2017
The appearance of H. F. Baker and E. W. Hobson in “The man who knew infinity”. Zbl 1390.01070
Berndt, Bruce C.
1
2017
On a secant Dirichlet series and Eichler integrals of Eisenstein series. Zbl 1402.11060
Berndt, Bruce C.; Straub, Armin
17
2016
Integrals associated with Ramanujan and elliptic functions. Zbl 1354.33015
Berndt, Bruce C.
2
2016
Ramanujan at elementary levels – glimpses. Edited and with a preface by Bruce C. Berndt, Atul Dixit, Victoria J. Reuter, Ping Xu and Boonrod Yuttanan. Zbl 1405.11003
Thiruvenkatachar, V. R.; Venkatachaliengar, K.
1
2016
Identities for partitions with distinct colors. Zbl 1386.11127
Berndt, Bruce C.; Zhou, Roberta R.
6
2015
Logarithmic means and double series of Bessel functions. Zbl 1390.11100
Berndt, Bruce C.; Kim, Sun
4
2015
Weighted divisor sums and Bessel function series. V. Zbl 1326.33007
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
2
2015
Certain integrals arising from Ramanujan’s notebooks. Zbl 1325.33014
Berndt, Bruce C.; Straub, Armin
1
2015
Proofs of conjectures of Sandon and Zanello on colored partition identities. Zbl 1315.11092
Berndt, Bruce C.; Zhou, Roberta R.
8
2014
Analogues of Koshliakov’s formula. Zbl 1308.33004
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
2
2014
Ramanujan’s lost notebook. Part IV. Zbl 1288.11002
Andrews, George E.; Berndt, Bruce C.
40
2013
Circle and divisor problems, and double series of Bessel functions. Zbl 1326.11059
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
12
2013
Weighted divisor sums and Bessel function series. III. Zbl 1326.11057
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
9
2013
The circle and divisor problems, and Ramanujan’s contributions through Bessel function series. Zbl 1360.11093
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
5
2013
Diophantine approximation of the exponential function and Sondow’s conjecture. Zbl 1292.11079
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
3
2013
Dirichlet \(L-\)functions, elliptic curves, hypergeometric functions, and rational approximation with partial sums of power series. Zbl 1297.11082
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
2
2013
Euler products in Ramanujan’s lost notebook. Zbl 1281.11086
Berndt, Bruce C.; Kim, Byungchan; Williams, Kenneth S.
1
2013
Diophantine approximation with partial sums of power series. Zbl 1318.11088
Berndt, Bruce C.; Kim, Sun; Phaovibul, M. Tip; Zaharescu, Alexandru
1
2013
Ramanujan’s lost notebook. Part III. Zbl 1248.11003
Andrews, George E.; Berndt, Bruce C.
40
2012
Weighted divisor sums and Bessel function series. II. Zbl 1236.33010
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
12
2012
Weighted divisor sums and Bessel function series. IV. Zbl 1270.11098
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
6
2012
Ramanujan’s elementary method in partition congruences. Zbl 1263.11094
Berndt, Bruce C.; Gugg, Chadwick; Kim, Sun
4
2012
Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi. Zbl 1290.11112
Berndt, Bruce C.; Lamb, George; Rogers, Mathew
4
2012
Two Dirichlet series evaluations found on page 196 of Ramanujan’s lost notebook. Zbl 1275.11116
Berndt, Bruce C.; Chan, Heng Huat; Tanigawa, Yoshio
1
2012
Asymptotic expansions of certain partial theta functions. Zbl 1272.11057
Berndt, Bruce C.; Kim, Byungchan
25
2011
Character analogues of theorems of Ramanujan, Koshliakov and Guinand. Zbl 1216.33012
Berndt, Bruce C.; Dixit, Atul; Sohn, Jaebum
6
2011
On sums of powers in Ramanujan’s lost notebook. Zbl 1232.11025
Berndt, Bruce C.; Schultz, Daniel
1
2011
The chief accountant and mathematical friend of Ramanujan – S. Narayana Aiyar. Zbl 1226.01017
Berndt, Bruce C.
1
2011
Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005
Baruah, Nayandeep Deka; Berndt, Bruce C.
25
2010
Ramanujan’s lost notebook: combinatorial proofs of identities associated with Heine’s transformation or partial theta functions. Zbl 1227.05053
Berndt, Bruce C.; Kim, Byungchan; Yee, Ae Ja
16
2010
A transformation formula involving the gamma and Riemann zeta functions in Ramanujan’s lost notebook. Zbl 1322.11086
Berndt, Bruce C.; Dixit, Atul
12
2010
What is a \(q\)-series? Zbl 1245.33013
Berndt, Bruce C.
6
2010
Cranks—really, the final problem. Zbl 1206.11001
Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin
1
2010
Ramanujan rediscovered. Proceedings of a conference on elliptic functions, partitions, and \(q\)-series in memory of K. Venkatachaliengar, Bangalore, India, June 1–5, 2009. Zbl 1214.00020
1
2010
A proof of the general theta transformation formula. Zbl 1343.11048
Berndt, Bruce C.; Gugg, Chadwick; Kongsiriwong, Sarachai; Thiel, Johann
1
2010
Ramanujan’s lost notebook. Part II. Zbl 1180.11001
Andrews, George E.; Berndt, Bruce C.
142
2009
Ramanujan’s series for \(1/\pi \): a survey. Zbl 1229.11162
Baruah, Deka Nayandeep; Berndt, Bruce C.; Chan, Huat Heng
48
2009
Ramanujan’s Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\). Zbl 1185.33002
Baruah, Nayandeep Deka; Berndt, Bruce C.
8
2009
An integral analogue of theta functions and Gauss sums in Ramanujan’s lost notebook. Zbl 1196.11113
Berndt, Bruce C.; Xu, Ping
1
2009
A reciprocity theorem for certain hypergeometric series. Zbl 1287.33001
Berndt, Bruce C.; Koukoulopoulos, Dimitris
1
2009
Hecke’s theory of modular forms and Dirichlet series. Zbl 1202.11030
Berndt, Bruce C.; Knopp, Marvin I.
22
2008
Ramanujan’s series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions. Zbl 1139.11023
Baruah, Nayandeep Deka; Berndt, Bruce C.
21
2008
Koshliakov’s formula and Guinand’s formula in Ramanujan’s lost notebook. Zbl 1183.33007
Berndt, Bruce C.; Lee, Yoonbok; Sohn, Jaebum
13
2008
Partition identities arising from theta function identities. Zbl 1154.11036
Baruah, Nayandeep Deka; Berndt, Bruce C.
11
2008
Your hit parade: the top ten most fascinating formulas in Ramanujan’s lost notebook. Zbl 1153.33300
Andrews, George E.; Berndt, Bruce C.
5
2008
Questionable claims found in Ramanujan’s lost notebook. Zbl 1163.11002
Berndt, Bruce C.; Chan, O-Yeat; Lim, Sung-Geun; Zaharescu, Alexandru
4
2008
Partition identities and Ramanujan’s modular equations. Zbl 1206.11132
Baruah, Nayandeep Deka; Berndt, Bruce C.
31
2007
Sixth order mock theta functions. Zbl 1122.33010
Berndt, Bruce C.; Chan, Song Heng
24
2007
Ramanujan’s forty identities for the Rogers-Ramanujan functions. Zbl 1118.11044
Berndt, Bruce C.; Choi, Geumlan; Choi, Youn-Seo; Hahn, Heekyoung; Yeap, Boon Pin; Yee, Ae Ja; Yesilyurt, Hamza; Yi, Jinhee
22
2007
Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan. Zbl 1131.05008
Berndt, Bruce C.
19
2007
A reciprocity theorem for certain \(q\)-series found in Ramanujan’s lost notebook. Zbl 1123.33012
Berndt, Bruce C.; Chan, Song Heng; Yeap, Boon Pin; Yee, Ae Ja
11
2007
Ramanujan’s congruences for the partition function modulo 5, 7, and 11. Zbl 1197.11137
Berndt, Bruce C.
5
2007
An identity for the Dedekind eta-function involving two independent complex variables. Zbl 1123.11015
Berndt, Bruce C.; Hart, William B.
3
2007
Preface: a special issue in celebration of Marvin Knopp’s 73rd birthday. Zbl 1197.01051
Berndt, Bruce C.; Choie, YoungJu
3
2007
Solving Ramanujan’s differential equations for Eisenstein series via a first order Riccati equation. Zbl 1145.11035
Hill, James M.; Berndt, Bruce C.; Huber, Tim
2
2007
Number theory in the spirit of Ramanujan. Zbl 1117.11001
Berndt, Bruce C.
247
2006
Weighted divisor sums and Bessel function series. Zbl 1100.33001
Berndt, Bruce C.; Zaharescu, Alexandru
12
2006
Ramanujan’s lost notebook. I. Zbl 1075.11001
Andrews, George E.; Berndt, Bruce C.
233
2005
Cranks and dissections in Ramanujan’s lost notebook. Zbl 1114.11082
Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin
14
2005
Determinations of analogues of Gauss sums and other trigonometric sums. Zbl 1088.11064
Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru
11
2005
Continued fractions with three limit points. Zbl 1131.11311
Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru
6
2005
On the power series coefficients of certain quotients of Eisenstein series. Zbl 1145.11312
Berndt, Bruce C.; Bialek, Paul R.
5
2005
New identities for the Rogers-Ramanujan functions. Zbl 1205.11113
Berndt, Bruce C.; Yesilyurt, Hamza
5
2005
Ramanujan and cranks. Zbl 1219.33017
Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liawt, Wen-Chin
2
2005
Finite trigonometric sums and class numbers. Zbl 1099.11039
Berndt, Bruce C.; Zaharescu, Alexandru
26
2004
A new identity for \((q;q)_\infty^{10}\) with an application to Ramanujan’s partition congruence modulo 11. Zbl 1060.11063
Berndt, Bruce C.; Chan, Song Heng; Liu, Zhi-Guo; Yesilyurt, Hamza
14
2004
New theorems on the parity of partition functions. Zbl 1034.11059
Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru
5
2004
An unpublished manuscript of Ramanujan on infinite series identities. Zbl 1066.40001
Berndt, Bruce C.
5
2004
\(q\)-Gauss summation via Ramanujan and combinatorics. Zbl 1063.33027
Berndt, Bruce C.; Yee, Ae Ja
1
2004
Combinatorial proofs of identities in Ramanujan’s lost notebook associated with the Rogers-Fine identity and false theta functions. Zbl 1037.05005
Berndt, Bruce C.; Yee, Ae Ja
13
2003
On the parity of partition functions. Zbl 1047.11098
Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru
12
2003
On Ramanujan’s continued fraction for \((q^2;q^3)_{\infty}/(q;q^3)_{\infty}\). Zbl 1063.33026
Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru
8
2003
A page on Eisenstein series in Ramanujan’s Lost Notebook. Zbl 1090.11025
Berndt, Bruce C.; Yee, Ae Ja
6
2003
On the generalized Rogers–Ramanujan continued fraction. Zbl 1040.11053
Berndt, Bruce C.; Yee, Ae Ja
5
2003
Theorems on partitions from a page in Ramanujan’s lost notebook. Zbl 1031.11062
Berndt, Bruce C.; Yee, Ae Ja; Yi, Jinhee
3
2003
A quasi-theta product in Ramanujan’s lost notebook. Zbl 1055.11015
Berndt, Bruce C.; Chan, Heng Huat; Zaharescu, Alexandru
3
2003
The life and work of R. A. Rankin (1915–2001). Zbl 1039.01011
Berndt, Bruce C.; Kohnen, Winfried; Ono, Ken
2
2003
Explicit evaluations and reciprocity theorems for finite trigonometric sums. Zbl 1011.11057
Berndt, Bruce C.; Yeap, Boon Pin
43
2002
Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series. Zbl 1033.11019
Berndt, Bruce C.; Bialek, Paul R.; Yee, Ae Ja
14
2002
A certain quotient of eta-functions found in Ramanujan’s lost notebook. Zbl 1054.11022
Berndt, Bruce C.; Chan, Heng Huat; Kang, Soon-Yi; Zhang, Liang-Cheng
13
2002
Integrals of Eisenstein series and derivatives of \(L\)-functions. Zbl 1086.11023
Ahlgren, Scott; Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru
6
2002
Congruences for the coefficients of quotients of Eisenstein series. Zbl 1018.11020
Berndt, Bruce C.; Yee, Ae Ja
4
2002
Ramanujan’s contributions to Eisenstein series, especially in his Lost Notebook. Zbl 1241.11107
Berndt, Bruce C.; Yee, Ae Ja
3
2002
An integral of Dedekind \(\eta\)-functions in Ramanujan’s lost notebook. Zbl 1001.11017
Berndt, Bruce C.; Zaharescu, Alexandru
2
2002
Asymptotic formulas for two continued fractions in Ramanujan’s Lost Notebook. Zbl 1034.11008
Berndt, Bruce C.; Sohn, Jaebum
1
2002
Number theory and discrete mathematics. Proceedings of the international conference in honour of Srinivasa Ramanujan, Chandigarh, India, October 2–6, 2000. Zbl 0997.00018
1
2002
Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00005
1
2002
Number theory for the millennium III. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00007
1
2002
On Ramanujan’s quartic theory of elliptic functions. Zbl 1005.33009
Berndt, Bruce C.; Chan, Heng Huat; Liaw, Wen-Chin
17
2001
Eisenstein series and approximations to \(\pi\). Zbl 0998.33003
Berndt, Bruce C.; Chan, Heng Huat
12
2001
...and 121 more Documents
all top 5

Cited by 2,283 Authors

83 Berndt, Bruce Carl
47 Saikia, Nipen
41 Baruah, Nayandeep Deka
41 Xia, Ernest X. W.
40 Zaharescu, Alexandru
38 Mahadeva Naika, Megadahalli Sidda
36 Dixit, Atul
34 Chan, Heng Huat
29 Evans, Ronald J.
28 Chu, Yuming
28 Cooper, Shaun
27 Kim, Byungchan
26 Yao, Olivia Xiang Mei
25 Sun, Zhihong
24 Vasuki, Kaliyur Ranganna
24 Wang, Liuquan
24 Xu, Ce
23 Andrews, George Eyre
23 Lin, Bernard L. S.
23 Sun, Zhi-Wei
23 Tang, Dazhao
23 Williams, Kenneth S.
22 Bringmann, Kathrin
22 Gu, Nancy Shan Shan
22 Qiu, Songliang
21 Alkan, Emre
21 Wang, Miaokun
20 Chan, Song Heng
20 Chu, Wenchang
19 Chen, Chaoping
18 Cui, Su-Ping
18 Liu, Zhi-Guo
18 Lovejoy, Jeremy
18 Mc Laughlin, James G.
17 Adiga, Chandrashekar
17 Barman, Rupam
17 Maji, Bibekananda
17 Ono, Ken
17 Zudilin, Wadim
16 Sellers, James Allen
16 Zhang, Wenpeng
15 Chern, Shane
15 Guillera, Jesús
15 Mao, Renrong
15 Srivastava, Hari Mohan
15 Toh, Pee Choon
15 Ye, Dongxi
15 Yee, Ae Ja
14 Borwein, Jonathan Michael
14 Can, Mumun
14 Coffey, Mark William
14 Kumar, Belakavadi Radhakrishna Srivatsa
14 Simsek, Yilmaz
13 Chen, William Yong-Chuan
13 Garvan, Frank G.
13 Kanemitsu, Shigeru
12 Campbell, John Maxwell
12 Huber, Tim
12 Moll, Victor Hugo
12 Roy, Arindam
12 Straub, Armin
11 Berkovich, Alexander
11 Dilcher, Karl
11 Eie, Minking
11 El Bachraoui, Mohamed
11 Folsom, Amanda L.
11 Glasser, M. Lawrence
11 Guo, Victor J. W.
11 Hirschhorn, Michael D.
11 Jennings-Shaffer, Chris
11 Mortenson, Eric T.
11 Rogers, Mathew D.
11 Sills, Andrew V.
11 Vuorinen, Matti Keijo Kustaa
10 Alaca, Ayşe
10 Alzer, Horst
10 Bowman, Douglas C.
10 Cvijović, Djurdje
10 da Silva, Robson
10 Feng, Tao
10 Gupta, Rajat
10 Kostov, Vladimir Petrov
10 Kumar, Rahul
10 Merca, Mircea
10 Milas, Antun
10 Nayaka, S. Shivaprasada
10 Paris, Richard Bruce
10 Sohn, Jaebum
9 Alaca, Şaban
9 Chan, Heichi
9 Chaudhary, M. P.
9 Dağli, Muhammet Cihat
9 Gao, Peng
9 Kane, Ben
9 Kang, Soon-Yi
9 Ma, Xiaoyan
9 Ma, Xinrong
9 Ray, Chiranjit
9 Shivashankar, Chandrappa
9 Zhao, Liangyi
...and 2,183 more Authors
all top 5

Cited in 360 Serials

369 The Ramanujan Journal
235 Journal of Number Theory
159 Journal of Mathematical Analysis and Applications
148 International Journal of Number Theory
77 Proceedings of the American Mathematical Society
54 Advances in Mathematics
39 Journal of Combinatorial Theory. Series A
39 Finite Fields and their Applications
37 Transactions of the American Mathematical Society
35 Research in Number Theory
34 Bulletin of the Australian Mathematical Society
34 Discrete Mathematics
34 Advances in Applied Mathematics
33 Rocky Mountain Journal of Mathematics
31 Mathematics of Computation
30 Indian Journal of Pure & Applied Mathematics
29 Journal of Computational and Applied Mathematics
27 Results in Mathematics
27 Integers
26 Applied Mathematics and Computation
26 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
26 Integral Transforms and Special Functions
23 Acta Arithmetica
22 Functiones et Approximatio. Commentarii Mathematici
22 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
21 Annals of Combinatorics
20 Designs, Codes and Cryptography
19 South East Asian Journal of Mathematics and Mathematical Sciences
17 Acta Mathematica Sinica. English Series
15 Monatshefte für Mathematik
15 Journal de Théorie des Nombres de Bordeaux
14 Mathematical Notes
14 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
13 Journal of Approximation Theory
13 Mathematische Zeitschrift
13 Proceedings of the Japan Academy. Series A
13 Journal of the Ramanujan Mathematical Society
12 American Mathematical Monthly
12 International Journal of Mathematics and Mathematical Sciences
12 Mathematische Annalen
12 Proceedings of the Edinburgh Mathematical Society. Series II
12 Boletín de la Sociedad Matemática Mexicana. Third Series
12 Research in the Mathematical Sciences
11 Lithuanian Mathematical Journal
11 Turkish Journal of Mathematics
11 Journal of High Energy Physics
11 Cryptography and Communications
11 Afrika Matematika
10 European Journal of Combinatorics
10 The Journal of Analysis
10 Abstract and Applied Analysis
10 Journal of Integer Sequences
10 Journal of the Australian Mathematical Society
10 Advances in Difference Equations
10 Applicable Analysis and Discrete Mathematics
10 Science China. Mathematics
10 Journal of Mathematics
9 Communications in Mathematical Physics
9 Czechoslovak Mathematical Journal
9 Indagationes Mathematicae. New Series
9 Experimental Mathematics
9 The Electronic Journal of Combinatorics
9 Journal of Difference Equations and Applications
9 Computational Methods and Function Theory
8 Israel Journal of Mathematics
8 Acta Mathematica Hungarica
8 Communications of the Korean Mathematical Society
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Palestine Journal of Mathematics
8 Journal of Classical Analysis
8 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
8 AIMS Mathematics
7 Journal of Mathematical Physics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Archiv der Mathematik
7 Duke Mathematical Journal
7 Manuscripta Mathematica
7 Bulletin of the Korean Mathematical Society
7 Expositiones Mathematicae
7 Journal of Algebraic Combinatorics
7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
7 Journal of Physics A: Mathematical and Theoretical
7 Open Mathematics
7 Korean Journal of Mathematics
7 Electronic Research Archive
6 Ukrainian Mathematical Journal
6 The Mathematical Intelligencer
6 Journal of Algebra
6 Journal of the Korean Mathematical Society
6 Journal of the London Mathematical Society. Second Series
6 Mathematica Slovaca
6 Nagoya Mathematical Journal
6 Forum Mathematicum
6 Linear Algebra and its Applications
6 Filomat
6 Journal of Inequalities and Applications
6 Mathematical Inequalities & Applications
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
...and 260 more Serials
all top 5

Cited in 57 Fields

2,294 Number theory (11-XX)
933 Special functions (33-XX)
665 Combinatorics (05-XX)
133 Functions of a complex variable (30-XX)
105 Sequences, series, summability (40-XX)
99 Algebraic geometry (14-XX)
85 Real functions (26-XX)
79 Approximations and expansions (41-XX)
72 Numerical analysis (65-XX)
58 Information and communication theory, circuits (94-XX)
56 Quantum theory (81-XX)
47 Harmonic analysis on Euclidean spaces (42-XX)
39 Probability theory and stochastic processes (60-XX)
28 Computer science (68-XX)
26 History and biography (01-XX)
26 Ordinary differential equations (34-XX)
22 Nonassociative rings and algebras (17-XX)
21 Difference and functional equations (39-XX)
21 Integral transforms, operational calculus (44-XX)
19 Field theory and polynomials (12-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
18 Group theory and generalizations (20-XX)
17 Partial differential equations (35-XX)
17 Manifolds and cell complexes (57-XX)
17 Statistical mechanics, structure of matter (82-XX)
13 Geometry (51-XX)
12 Functional analysis (46-XX)
11 Global analysis, analysis on manifolds (58-XX)
8 Relativity and gravitational theory (83-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 General and overarching topics; collections (00-XX)
6 Commutative algebra (13-XX)
6 Measure and integration (28-XX)
6 Differential geometry (53-XX)
6 Statistics (62-XX)
5 Abstract harmonic analysis (43-XX)
5 Convex and discrete geometry (52-XX)
5 Biology and other natural sciences (92-XX)
4 Topological groups, Lie groups (22-XX)
4 Potential theory (31-XX)
4 Operator theory (47-XX)
4 Mechanics of particles and systems (70-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Category theory; homological algebra (18-XX)
3 Mathematics education (97-XX)
2 \(K\)-theory (19-XX)
2 Algebraic topology (55-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
2 Systems theory; control (93-XX)
1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.