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Lenstra, Hendrik W. jun.

Author ID: lenstra.hendrik-w-jun Recent zbMATH articles by "Lenstra, Hendrik W. jun."
Published as: Lenstra, H. W. jun.; Lenstra, Hendrik W. jun.; Lenstra, Hendrik; Lenstra, Hendrik W.; Lenstra, H. W.; Lenstra, Hendrik W. Jr.; Lenstra, Hendrik jun.; Lenstra, H. W. jun
Homepage: http://www.math.leidenuniv.nl/~hwl/
External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

75 single-authored
8 Lenstra, Arjen K.
8 Silverberg, Alice
7 Stevenhagen, Peter
6 Cohen, Henri
5 de Smit, Bart
5 Pomerance, Carl Bernard
4 Pila, Jonathan
4 Schnorr, Claus Peter
4 Zagier, Don Bernard
3 Bartel, Alex
3 Lovász, László
3 Manasse, Mark S.
3 Oort, Frans
3 Pollard, John M.
2 Belabas, Karim
2 Bernstein, Daniel Julius
2 Gao, Shuhong
2 van Emde Boas, Peter
2 von zur Gathen, Joachim
2 Zarkhin, Yuriĭ Gennad’evich
2 Zieve, Michael E.
1 Aarts, Johannes Michael
1 Ahmadi, Omran
1 Alvis, Dean L.
1 Bach, Eric
1 Ball, L. Simeon
1 Bayer-Fluckiger, Eva
1 Bergman, George M.
1 Beukers, Frits
1 Bhargava, Manjul
1 Blache, Régis
1 Blake, Ian F.
1 Blokhuis, Aart
1 Bosma, Wieb
1 Boston, Nigel
1 Buchmann, Johannes A.
1 Buhler, Joe P.
1 Carlet, Claude
1 Castro, Francis Noel
1 Chand Gupta, Kishan
1 Charpin, Pascale
1 Cioabă, Sebastian M.
1 Cohen, Stephen D.
1 Colbourn, Charles J.
1 Coulter, Robert S.
1 Ding, Jintai
1 Dinitz, Jeffrey H.
1 Doche, Christophe
1 Dumas, Jean-Guillaume
1 Dunham, Douglas
1 Ebert, Gary Lee
1 Effinger, Gove W.
1 Enge, Andreas
1 Evans, Ronald J.
1 Fan, Haining
1 Finkelnberg, Hans
1 Fitzgerald, Robert W.
1 Fried, Michael David
1 Fu, Lei
1 Garaev, Moubariz Z.
1 Garcia, Arnaldo
1 Giesbrecht, Mark W.
1 Gong, Guang
1 Goss, David Mark
1 Gow, Roderick
1 Hachenberger, Dirk
1 Hasan, M. Anwar
1 Hekster, Nico S.
1 Helleseth, Tor
1 Hinkelmann, Franziska
1 Hirschfeld, James William Peter
1 Hogendijk, Jan Pieter
1 Hou, Xiang-Dong
1 Huffman, W. Cary
1 Jacobson, Michael John jun.
1 Jager, Hendrik
1 Jedwab, Jonathan
1 Johnston, Henri L. A.
1 Jungnickel, Dieter
1 Kaltofen, Erich L.
1 Kane, Daniel M.
1 Kholosha, Alexander
1 Kiyota, Masao
1 Kuyk, Willem
1 Kyuregyan, Melsik K.
1 Lagarias, Jeffrey C.
1 Lange, Tanja
1 Laubenbacher, Reinhard C.
1 Lecerf, Grégoire
1 Liao, Qunying
1 Lidl, Rudolf
1 Litsyn, Simon N.
1 McGuire, Gary
1 Meidl, Wilfried
1 Menezes, Alfred J.
1 Moree, Pieter
1 Mullen, Gary L.
1 Murty, Kumar
1 Murty, Maruti Ram
1 Niederreiter, Harald
...and 36 more Co-Authors
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Serials

9 Mathematics of Computation
5 Journal of Algebra
4 Nieuw Archief voor Wiskunde. Vierde Serie
4 Nieuw Archief voor Wiskunde. Vijfde Serie
4 Oberwolfach Reports
3 The Mathematical Intelligencer
3 Archiv der Mathematik
3 Inventiones Mathematicae
3 Journal of Number Theory
3 Journal of Pure and Applied Algebra
3 European Mathematical Society Newsletter
2 Discrete Mathematics
2 Kiberneticheskiĭ Sbornik. Novaya Seriya
2 Mathematische Annalen
2 Proceedings of the London Mathematical Society. Third Series
2 Journal of Cryptology
2 Bulletin of the American Mathematical Society. New Series
2 Notices of the American Mathematical Society
2 Finite Fields and their Applications
2 Foundations of Computational Mathematics
2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
1 American Mathematical Monthly
1 Communications in Algebra
1 Information Processing Letters
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Acta Arithmetica
1 American Journal of Mathematics
1 Compositio Mathematica
1 Indagationes Mathematicae
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of the London Mathematical Society. Second Series
1 Mathematics of Operations Research
1 SIAM Journal on Computing
1 Operations Research Letters
1 Combinatorica
1 Journal of Symbolic Computation
1 Journal of the American Mathematical Society
1 Designs, Codes and Cryptography
1 L’Enseignement Mathématique. 2e Série
1 Nieuw Archief voor Wiskunde. Derde Serie
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Expositiones Mathematicae
1 Philosophical Transactions of the Royal Society of London. Series A
1 Journal de Théorie des Nombres de Bordeaux
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 CWI Syllabus
1 Lecture Notes in Mathematics
1 Cambridge Journal of Mathematics
1 Séminaire de Théorie des Nombres
1 European Journal of Mathematics
1 Discrete Mathematics and its Applications

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 3,112 times in 2,639 Documents Cited by Year
Factoring polynomials with rational coefficients. Zbl 0488.12001
Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László
803
1982
Integer programming with a fixed number of variables. Zbl 0524.90067
Lenstra, H. W. jun.
420
1983
Factoring integers with elliptic curves. Zbl 0629.10006
Lenstra, H. W. jun.
203
1987
Handbook of finite fields. Zbl 1319.11001
196
2013
Heuristics on class groups of number fields. Zbl 0558.12002
Cohen, H.; Lenstra, H. W. jun.
99
1984
Rational functions invariant under a finite Abelian group. Zbl 0292.20010
Lenstra, H. W. jun.
92
1974
Chebotarëv and his density theorem. Zbl 0885.11005
Stevenhagen, P.; Lenstra, H. W. jun.
79
1996
Primitive normal bases for finite fields. Zbl 0615.12023
Lenstra, H. W. jun.; Schoof, R. J.
76
1987
On Artin’s conjecture and Euclid’s algorithm in global fields. Zbl 0362.12012
Lenstra, H. W. jun.
69
1977
The development of the number field sieve. Zbl 0777.00017
68
1993
Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice. Zbl 0723.11029
Lagarias, J. C.; Lenstra, H. W. jun.; Schnorr, C. P.
59
1990
Forms in odd degree extensions and self-dual normal bases. Zbl 0729.12006
Bayer-Fluckiger, E.; Lenstra, H. W. jun.
59
1990
Algorithms in algebraic number theory. Zbl 0759.11046
Lenstra, H. W. jun.
52
1992
Factoring integers with the number field sieve. Zbl 0806.11067
Buhler, J. P.; Lenstra, H. W. jun.; Pomerance, Carl
46
1993
Finding isomorphisms between finite fields. Zbl 0709.11072
Lenstra, H. W. jun.
35
1991
Explicit construction of universal deformation rings. Zbl 0907.13010
De Smit, Bart; Lenstra, Hendrik W. jun.
35
1997
Subgroups close to normal subgroups. Zbl 0641.20023
Bergman, George M.; Lenstra, Hendrik W. jun.
32
1989
Approximating rings of integers in number fields. Zbl 0828.11075
Buchmann, J. A.; Lenstra, H. W. jun.
31
1994
The number field sieve. Zbl 0806.11065
Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M.
30
1993
Algorithms in number theory. Zbl 0900.68250
Lenstra, A. K.; Lenstra, H. W. jun.
27
1990
Euclidean number fields of large degree. Zbl 0328.12007
Lenstra, H. W. jun.
26
1977
A rigorous time bound for factoring integers. Zbl 0770.11057
Lenstra, H. W. jun.; Pomerance, Carl
26
1992
Optimal normal bases. Zbl 0770.11055
Gao, Shuhong; Lenstra, Hendrik W. jun.
26
1992
Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018
Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A.
25
1991
Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071
Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric
25
2015
Solving the Pell equation. Zbl 1126.11312
Lenstra, H. W. jun
24
2002
Grothendieck groups of Abelian group rings. Zbl 0467.16016
Lenstra, H. W. jun.
23
1981
A Monte Carlo factoring algorithm with linear storage. Zbl 0559.10004
Schnorr, C. P.; Lenstra, H. W. jun.
22
1984
Complete systems of two addition laws for elliptic curves. Zbl 0841.14027
Bosma, W.; Lenstra, H. W. jun.
22
1995
Complex multiplication structure of elliptic curves. Zbl 1044.11590
Lenstra, H. W. jun.
22
1996
Character sums for primitive root densities. Zbl 1353.11104
Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P.
21
2014
Primality testing and Jacobi sums. Zbl 0578.10004
Cohen, H.; Lenstra, H. W. jun.
20
1984
Two theorems on perfect codes. Zbl 0248.94017
Lenstra, H. W. jun.
17
1972
Miller’s primality test. Zbl 0399.10006
Lenstra, H. W. jun.
17
1979
The factorization of the ninth Fermat number. Zbl 0792.11055
Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M.
17
1993
Finding small degree factors of lacunary polynomials. Zbl 0949.11053
Lenstra, H. W. jun.
16
1999
Abelian varieties having purely additive reduction. Zbl 0557.14022
Lenstra, H. W. jun.; Oort, F.
15
1985
Euclidean ideal classes. Zbl 0401.12005
Lenstra, H. W. jun.
15
1979
Factoring polynomials with rational coefficients. Zbl 0477.68043
Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László
14
1982
Simple abelian varieties having a prescribed formal isogeny type. Zbl 0279.14009
Lenstra, Hendrik W. jun.; Oort, Frans
13
1974
A sharpened version of the Aanderaa-Rosenberg conjecture. Zbl 0294.05125
Best, M. R.; van Emde Boas, P.; Lenstra, H. W. jun.
13
1974
Elliptic curves and number-theoretic algorithms. Zbl 0686.14039
Lenstra, H. W. jun.
12
1987
Vanishing sums of roots of unity. Zbl 0411.12003
Lenstra, H. W. jun.
12
1979
Euclid’s algorithm in cyclotomic fields. Zbl 0313.12001
Lenstra, H. W. jun.
11
1975
Galois theory and primality testing. Zbl 0571.10005
Lenstra, H. W. jun.
11
1985
A family of exceptional polynomials in characteristic three. Zbl 0871.11087
Lenstra, H. W. jun.; Zieve, M.
11
1996
Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070
Lenstra, H. W.; Silverberg, A.
11
2014
Primality testing with Gaussian periods. Zbl 1429.11221
Lenstra, Hendrik W. jun.; Pomerance, Carl B.
11
2019
Divisors in residue classes. Zbl 0531.10002
Lenstra, H. W. jun.
10
1984
Heuristics on class groups. Zbl 0532.12008
Cohen, H.; Lenstra, H. W. jun.
10
1984
Lectures on Euclidean rings. Zbl 0344.13005
Lenstra, H. W. jun.
10
1974
\(K_2\) of a global field consists of symbols. Zbl 0345.13008
Lenstra, H. W.
10
1976
On the factorization of lacunary polynomials. Zbl 0943.11047
Lenstra, H. W. jun.
10
1999
On the Chor-Rivest knapsack cryptosystem. Zbl 0725.94003
Lenstra, H. W. jun.
10
1991
The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022
Lenstra, Hendrik jun.; Zarhin, Yuri G.
10
1993
A hyperelliptic smoothness test. I. Zbl 0808.11073
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
10
1993
On the calculation of regulators and class numbers of quadratic fields. Zbl 0487.12003
Lenstra, H. W. jun.
9
1982
Complete intersections and Gorenstein rings. Zbl 0860.13012
Lenstra, H. W. jun.
9
1995
A hyperelliptic smoothness test. II. Zbl 0983.11072
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
9
2002
Continued fractions and linear recurrences. Zbl 0797.11006
Lenstra, H. W.; Shallit, J. O.
8
1993
Detecting perfect powers by factoring into coprimes. Zbl 1110.11038
Bernstein, Daniel J.; Lenstra, Hendrik W. jun.; Pila, Jonathan
7
2007
Lattices. Zbl 1200.11046
Lenstra, Hendrik W. jun.
7
2008
Primality testing with Gaussian periods. Zbl 1027.68984
Lenstra, H. W. jun.
7
2002
Abelian subvarieties. Zbl 0861.14037
Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G.
6
1996
Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058
Lenstra, H. W. jun.; Silverberg, A.
6
2018
Euclidean number fields. I. II. III. Zbl 0433.12004
Lenstra, Hendrik W. jun.
6
1979
On a problem of Garcia, Stichtenoth, and Thomas. Zbl 1041.11046
Lenstra, H. W. jun.
6
2002
Linearly equivalent actions of solvable groups. Zbl 0958.20011
de Smit, B.; Lenstra, H. W. jun.
5
2000
Factoring polynomials over special finite fields. Zbl 0985.11060
Bach, Eric; von zur Gathen, Joachim; Lenstra, Hendrik W. jun.
5
2001
A normal basis theorem for infinite Galois extensions. Zbl 0569.12013
Lenstra, H. W. jun.
5
1985
Factoring integers with elliptic curves. Zbl 0596.10007
Lenstra, H. W. jun.
5
1986
Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056
Lenstra, H. W. jun.; Stevenhagen, P.
5
1991
Lattices with symmetry. Zbl 1377.94060
Lenstra, H. W. jun.; Silverberg, A.
5
2017
Commensurability of automorphism groups. Zbl 1381.11105
Bartel, Alex; Lenstra, Hendrik W. Jr.
5
2017
Testing isomorphism of lattices over CM-orders. Zbl 1473.11228
Lenstra, Hendrik W. Jr.; Silverberg, Alice
5
2019
Profinite Fibonacci numbers. Zbl 1138.11307
Lenstra, Hendrik
4
2005
Computational methods in number theory. Part I, II. Zbl 0497.00005
4
1982
Primality testing. Zbl 0507.10003
Lenstra, H. W. jun.
4
1982
The history of the LLL-algorithm. In collaboration with Arjen Lenstra, Hendrik Lenstra, László Lovász, and Peter van Emde Boas. Zbl 1230.11002
Smeets, Ionica; Lenstra, Arjen; Lenstra, Hendrik; Lovász, László; Van Emde Boas, Peter
4
2010
The acyclic subgraph problem. Zbl 0304.90112
Lenstra, H. W. jun.
4
1973
Linear independence of cosecant values. Zbl 0311.10017
Jager, H.; Lenstra, H. W. jun.
4
1975
Solving the Pell equation. Zbl 1178.11077
Lenstra, Hendrik W. jun.
4
2008
The number field sieve: An annotated bibliography. Zbl 0806.11063
Lenstra, H. W. jun.
4
1993
Profinite number theory. Zbl 1357.11117
Lenstra, Hendrik
4
2016
Roots of unity in orders. Zbl 1384.16012
Lenstra, H. W. jun.; Silverberg, A.
4
2017
Flags and lattice basis reduction. Zbl 1101.11053
Lenstra, Hendrik W. jun.
4
2001
Groups with finitely many non-normal subgroups. Zbl 0668.20029
Hekster, N. S.; Lenstra, H. W. jun.
3
1990
Artin reciprocity and Mersenne primes. Zbl 1011.11006
Lenstra, H. W. jun.; Stevenhagen, P.
3
2000
Abelian extensions of arbitrary fields. Zbl 0293.12102
Kuyk, W.; Lenstra, H. W. jun.
3
1975
Finite complete intersection algebras and the completeness radical. Zbl 0906.13001
de Smit, B.; Lenstra, H. W. jun.
3
1997
Quelques exemples d’anneaux euclidiens. Zbl 0381.12005
Lenstra, Hendrik W. jun.
3
1978
On class groups of random number fields. Zbl 1470.11275
Bartel, Alex; Lenstra, Hendrik W.
3
2020
Explicit methods in number theory. Abstracts from the workshop held July 15–21, 2007. Zbl 1177.11004
2
2007
Artful mathematics: the heritage of M. C. Escher. Zbl 1159.01353
de Smit, B.; Lenstra, H. W. jun.; Dunham, Douglas; Sarhangi, Reza
2
2003
Codes from algebraic number fields. Zbl 0617.94010
Lenstra, H. W. jun.
2
1986
Automorphisms of finite fields. Zbl 0695.12012
Lenstra, H. W. jun.
2
1990
Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012
Lenstra, H. W. jun.; Stevenhagen, P.
2
1997
Nim multiplication. Zbl 0395.90119
Lenstra, H. W. jun.
2
1978
Rational functions invariant under a cyclic group. Zbl 0453.12008
Lenstra, H. W. jun.
2
1980
Primality testing. Zbl 0459.10007
Lenstra, H. W. jun.
2
1980
On class groups of random number fields. Zbl 1470.11275
Bartel, Alex; Lenstra, Hendrik W.
3
2020
Primality testing with Gaussian periods. Zbl 1429.11221
Lenstra, Hendrik W. jun.; Pomerance, Carl B.
11
2019
Testing isomorphism of lattices over CM-orders. Zbl 1473.11228
Lenstra, Hendrik W. Jr.; Silverberg, Alice
5
2019
Construction of the ring of Witt vectors. Zbl 1431.13025
Lenstra, Hendrik W.
1
2019
Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058
Lenstra, H. W. jun.; Silverberg, A.
6
2018
Universal gradings of orders. Zbl 1453.13004
Lenstra, H. W. jun.; Silverberg, A.
2
2018
Lattices with symmetry. Zbl 1377.94060
Lenstra, H. W. jun.; Silverberg, A.
5
2017
Commensurability of automorphism groups. Zbl 1381.11105
Bartel, Alex; Lenstra, Hendrik W. Jr.
5
2017
Roots of unity in orders. Zbl 1384.16012
Lenstra, H. W. jun.; Silverberg, A.
4
2017
Profinite number theory. Zbl 1357.11117
Lenstra, Hendrik
4
2016
Determining cyclicity of finite modules. Zbl 1348.13027
Lenstra, H. W.; Silverberg, A.
2
2016
Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071
Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric
25
2015
Character sums for primitive root densities. Zbl 1353.11104
Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P.
21
2014
Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070
Lenstra, H. W.; Silverberg, A.
11
2014
Handbook of finite fields. Zbl 1319.11001
196
2013
The history of the LLL-algorithm. In collaboration with Arjen Lenstra, Hendrik Lenstra, László Lovász, and Peter van Emde Boas. Zbl 1230.11002
Smeets, Ionica; Lenstra, Arjen; Lenstra, Hendrik; Lovász, László; Van Emde Boas, Peter
4
2010
Irreducible cubics modulo five. Zbl 1226.11128
Lenstra, Hendrik
1
2010
Ode to the number 43. Zbl 1263.00002
Lenstra, Hendrik
1
2009
Lattices. Zbl 1200.11046
Lenstra, Hendrik W. jun.
7
2008
Solving the Pell equation. Zbl 1178.11077
Lenstra, Hendrik W. jun.
4
2008
Detecting perfect powers by factoring into coprimes. Zbl 1110.11038
Bernstein, Daniel J.; Lenstra, Hendrik W. jun.; Pila, Jonathan
7
2007
Explicit methods in number theory. Abstracts from the workshop held July 15–21, 2007. Zbl 1177.11004
2
2007
Profinite Fibonacci numbers. Zbl 1286.11022
Lenstra, Hendrik W.
1
2006
Profinite Fibonacci numbers. Zbl 1138.11307
Lenstra, Hendrik
4
2005
Artful mathematics: the heritage of M. C. Escher. Zbl 1159.01353
de Smit, B.; Lenstra, H. W. jun.; Dunham, Douglas; Sarhangi, Reza
2
2003
Solving the Pell equation. Zbl 1126.11312
Lenstra, H. W. jun
24
2002
A hyperelliptic smoothness test. II. Zbl 0983.11072
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
9
2002
Primality testing with Gaussian periods. Zbl 1027.68984
Lenstra, H. W. jun.
7
2002
On a problem of Garcia, Stichtenoth, and Thomas. Zbl 1041.11046
Lenstra, H. W. jun.
6
2002
Factoring polynomials over special finite fields. Zbl 0985.11060
Bach, Eric; von zur Gathen, Joachim; Lenstra, Hendrik W. jun.
5
2001
Flags and lattice basis reduction. Zbl 1101.11053
Lenstra, Hendrik W. jun.
4
2001
Linearly equivalent actions of solvable groups. Zbl 0958.20011
de Smit, B.; Lenstra, H. W. jun.
5
2000
Artin reciprocity and Mersenne primes. Zbl 1011.11006
Lenstra, H. W. jun.; Stevenhagen, P.
3
2000
Finding small degree factors of lacunary polynomials. Zbl 0949.11053
Lenstra, H. W. jun.
16
1999
On the factorization of lacunary polynomials. Zbl 0943.11047
Lenstra, H. W. jun.
10
1999
Explicit construction of universal deformation rings. Zbl 0907.13010
De Smit, Bart; Lenstra, Hendrik W. jun.
35
1997
Finite complete intersection algebras and the completeness radical. Zbl 0906.13001
de Smit, B.; Lenstra, H. W. jun.
3
1997
Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012
Lenstra, H. W. jun.; Stevenhagen, P.
2
1997
Chebotarëv and his density theorem. Zbl 0885.11005
Stevenhagen, P.; Lenstra, H. W. jun.
79
1996
Complex multiplication structure of elliptic curves. Zbl 1044.11590
Lenstra, H. W. jun.
22
1996
A family of exceptional polynomials in characteristic three. Zbl 0871.11087
Lenstra, H. W. jun.; Zieve, M.
11
1996
Abelian subvarieties. Zbl 0861.14037
Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G.
6
1996
Complete systems of two addition laws for elliptic curves. Zbl 0841.14027
Bosma, W.; Lenstra, H. W. jun.
22
1995
Complete intersections and Gorenstein rings. Zbl 0860.13012
Lenstra, H. W. jun.
9
1995
Does the set of points of an elliptic curve determine the group? Zbl 0861.14024
Lenstra, H. W. jun.; Pila, J.
1
1995
Addendum to: The factorization of the ninth Fermat number. Zbl 0827.11077
Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M.
1
1995
Computing Jacobi symbols in algebraic number fields. Zbl 0858.11066
Lenstra, H. W. jun.
1
1995
Approximating rings of integers in number fields. Zbl 0828.11075
Buchmann, J. A.; Lenstra, H. W. jun.
31
1994
Sharp characters with only one rational value. Zbl 0809.20002
Alvis, Dean; Kiyota, Masao; Lenstra, Hendrik W. jun.; Nozawa, Sôhei
1
1994
The development of the number field sieve. Zbl 0777.00017
68
1993
Factoring integers with the number field sieve. Zbl 0806.11067
Buhler, J. P.; Lenstra, H. W. jun.; Pomerance, Carl
46
1993
The number field sieve. Zbl 0806.11065
Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M.
30
1993
The factorization of the ninth Fermat number. Zbl 0792.11055
Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M.
17
1993
The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022
Lenstra, Hendrik jun.; Zarhin, Yuri G.
10
1993
A hyperelliptic smoothness test. I. Zbl 0808.11073
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
10
1993
Continued fractions and linear recurrences. Zbl 0797.11006
Lenstra, H. W.; Shallit, J. O.
8
1993
The number field sieve: An annotated bibliography. Zbl 0806.11063
Lenstra, H. W. jun.
4
1993
Algorithms in algebraic number theory. Zbl 0759.11046
Lenstra, H. W. jun.
52
1992
A rigorous time bound for factoring integers. Zbl 0770.11057
Lenstra, H. W. jun.; Pomerance, Carl
26
1992
Optimal normal bases. Zbl 0770.11055
Gao, Shuhong; Lenstra, Hendrik W. jun.
26
1992
On the inverse Fermat equation. Zbl 0766.11018
Lenstra, H. W. jun.
1
1992
Finding isomorphisms between finite fields. Zbl 0709.11072
Lenstra, H. W. jun.
35
1991
Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018
Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A.
25
1991
On the Chor-Rivest knapsack cryptosystem. Zbl 0725.94003
Lenstra, H. W. jun.
10
1991
Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056
Lenstra, H. W. jun.; Stevenhagen, P.
5
1991
Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice. Zbl 0723.11029
Lagarias, J. C.; Lenstra, H. W. jun.; Schnorr, C. P.
59
1990
Forms in odd degree extensions and self-dual normal bases. Zbl 0729.12006
Bayer-Fluckiger, E.; Lenstra, H. W. jun.
59
1990
Algorithms in number theory. Zbl 0900.68250
Lenstra, A. K.; Lenstra, H. W. jun.
27
1990
Groups with finitely many non-normal subgroups. Zbl 0668.20029
Hekster, N. S.; Lenstra, H. W. jun.
3
1990
Automorphisms of finite fields. Zbl 0695.12012
Lenstra, H. W. jun.
2
1990
Algorithms for finite fields. Zbl 0703.11076
Lenstra, H. W. jun.
1
1990
Subgroups close to normal subgroups. Zbl 0641.20023
Bergman, George M.; Lenstra, Hendrik W. jun.
32
1989
Factoring integers with elliptic curves. Zbl 0629.10006
Lenstra, H. W. jun.
203
1987
Primitive normal bases for finite fields. Zbl 0615.12023
Lenstra, H. W. jun.; Schoof, R. J.
76
1987
Elliptic curves and number-theoretic algorithms. Zbl 0686.14039
Lenstra, H. W. jun.
12
1987
Primality testing and Jacobi sums. Zbl 0647.10009
Cohen, H.; Lenstra, H. W. jun.
1
1987
Factoring integers with elliptic curves. Zbl 0596.10007
Lenstra, H. W. jun.
5
1986
Codes from algebraic number fields. Zbl 0617.94010
Lenstra, H. W. jun.
2
1986
Euclid’s algorithm in large Dedekind domains. Zbl 0687.13012
Lenstra, H. W. jun.
1
1986
Abelian varieties having purely additive reduction. Zbl 0557.14022
Lenstra, H. W. jun.; Oort, F.
15
1985
Galois theory and primality testing. Zbl 0571.10005
Lenstra, H. W. jun.
11
1985
A normal basis theorem for infinite Galois extensions. Zbl 0569.12013
Lenstra, H. W. jun.
5
1985
Heuristics on class groups of number fields. Zbl 0558.12002
Cohen, H.; Lenstra, H. W. jun.
99
1984
A Monte Carlo factoring algorithm with linear storage. Zbl 0559.10004
Schnorr, C. P.; Lenstra, H. W. jun.
22
1984
Primality testing and Jacobi sums. Zbl 0578.10004
Cohen, H.; Lenstra, H. W. jun.
20
1984
Divisors in residue classes. Zbl 0531.10002
Lenstra, H. W. jun.
10
1984
Heuristics on class groups. Zbl 0532.12008
Cohen, H.; Lenstra, H. W. jun.
10
1984
Integer programming and cryptography. Zbl 0548.90050
Lenstra, H. W. jun.
1
1984
Integer programming with a fixed number of variables. Zbl 0524.90067
Lenstra, H. W. jun.
420
1983
Factoring polynomials with rational coefficients. Zbl 0488.12001
Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László
803
1982
Factoring polynomials with rational coefficients. Zbl 0477.68043
Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László
14
1982
On the calculation of regulators and class numbers of quadratic fields. Zbl 0487.12003
Lenstra, H. W. jun.
9
1982
Computational methods in number theory. Part I, II. Zbl 0497.00005
4
1982
Primality testing. Zbl 0507.10003
Lenstra, H. W. jun.
4
1982
On a question of Colliot-Thelene. Zbl 0523.12014
Lenstra, H. W. jun.
1
1982
Grothendieck groups of Abelian group rings. Zbl 0467.16016
Lenstra, H. W. jun.
23
1981
Primality testing algorithms (after Adleman, Rumely and Williams). Zbl 0476.10005
Lenstra, H. W. jun.
2
1981
Rational functions invariant under a cyclic group. Zbl 0453.12008
Lenstra, H. W. jun.
2
1980
Primality testing. Zbl 0459.10007
Lenstra, H. W. jun.
2
1980
Miller’s primality test. Zbl 0399.10006
Lenstra, H. W. jun.
17
1979
...and 18 more Documents
all top 5

Cited by 3,363 Authors

29 Shparlinski, Igor E.
22 Lenstra, Hendrik W. jun.
19 Nitaj, Abderrahmane
18 Niedermeier, Rolf
17 Sarkar, Santanu
16 Bleher, Frauke M.
16 Moree, Pieter
15 Knop, Dušan
14 Hoshi, Akinari
14 Weismantel, Robert
14 Yasuda, Masaya
13 Buchmann, Johannes A.
13 Kang, Ming-Chang
13 Koutecký, Martin
12 Bernstein, Daniel Julius
12 Silverberg, Alice
11 Hu, Lei
11 Levin, Asaf
10 Beneish, Esther
10 Bredereck, Robert
10 Klüners, Jürgen
10 Kunihiro, Noboru
10 Lenstra, Arjen K.
10 Stehlé, Damien
10 Zarkhin, Yuriĭ Gennad’evich
9 Cai, Jin-Yi
9 Chinburg, Ted
9 Ducas, Léo
9 Eisenbrand, Friedrich
9 Ganian, Robert
9 Gao, Shuhong
9 Peng, Liqiang
9 Reis, Lucas
9 Rojas, J. Maurice
9 Schnorr, Claus Peter
9 Susilo, Willy
9 Sutherland, Andrew V.
9 Takayasu, Atsushi
9 von zur Gathen, Joachim
9 Williams, Hugh Cowie
9 Xu, Jun
9 Yamasaki, Aiichi
8 Bach, Eric
8 Bayer-Fluckiger, Eva
8 Gutierrez, Jaime
8 Heninger, Nadia
8 Joux, Antoine
8 Lange, Tanja
8 Lercier, Reynald
8 Nichterlein, André
8 Ordyniak, Sebastian
8 Otachi, Yota
8 Pan, Yanbin
8 Pohst, Michael E.
8 Saltman, David J.
8 Voight, John Michael
8 Woeginger, Gerhard
7 Biasse, Jean-François
7 Castryck, Wouter
7 Dadush, Daniel
7 Fan, Shuqin
7 Fomin, Fedor V.
7 Futa, Yuichi
7 Jansen, Klaus
7 Kaplan, Nathan
7 Kleinjung, Thorsten
7 Lu, Yao
7 Maity, Soumen
7 Morain, François
7 Mossinghoff, Michael J.
7 Naccache, David
7 Nguyen, Phong Q.
7 Panario, Daniel
7 Pomerance, Carl Bernard
7 Rothe, Jörg-Matthias
7 Shidama, Yasunari
7 Smart, Nigel Paul
7 Stevenhagen, Peter
7 Takagi, Tsuyoshi
7 Talmon, Nimrod
7 van Hoeij, Mark
7 Wagner, Frank Olaf
7 Webb, David L.
6 Aardal, Karen I.
6 Aggarwal, Divesh
6 Barbulescu, Razvan
6 Belabas, Karim
6 Cheng, Qi
6 Cheon, Jung Hee
6 Cohen, Stephen D.
6 Cook, William John
6 De Loera, Jesús A.
6 Faliszewski, Piotr
6 Fouque, Pierre-Alain
6 Fouvry, Etienne
6 Gaál, István
6 Gaikwad, Ajinkya
6 Gaudry, Pierrick
6 Guralnick, Robert Michael
6 Hanaka, Tesshu
...and 3,263 more Authors
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Cited in 368 Serials

157 Mathematics of Computation
128 Journal of Number Theory
84 Journal of Algebra
75 Theoretical Computer Science
68 Journal of Symbolic Computation
56 Finite Fields and their Applications
52 Designs, Codes and Cryptography
49 Journal de Théorie des Nombres de Bordeaux
33 Discrete Applied Mathematics
31 Transactions of the American Mathematical Society
31 Algorithmica
30 Mathematical Programming. Series A. Series B
28 Journal of Computer and System Sciences
26 Journal of Pure and Applied Algebra
25 Experimental Mathematics
24 Communications in Algebra
23 Proceedings of the American Mathematical Society
23 Journal of Cryptology
22 The Ramanujan Journal
21 Mathematische Annalen
21 Journal of Mathematical Cryptology
20 Discrete Mathematics
20 Information Processing Letters
20 Operations Research Letters
20 International Journal of Number Theory
19 Archiv der Mathematik
18 Duke Mathematical Journal
18 Information and Computation
17 Advances in Mathematics
17 Linear Algebra and its Applications
17 Research in Number Theory
16 LMS Journal of Computation and Mathematics
15 Israel Journal of Mathematics
15 Mathematical Proceedings of the Cambridge Philosophical Society
15 Applicable Algebra in Engineering, Communication and Computing
15 Computational Complexity
14 The Mathematical Intelligencer
14 SIAM Journal on Discrete Mathematics
14 Discrete Optimization
13 Acta Arithmetica
13 Annales de l’Institut Fourier
13 Compositio Mathematica
13 Manuscripta Mathematica
13 Combinatorica
13 Journal of Algebra and its Applications
12 Bulletin of the Australian Mathematical Society
12 Inventiones Mathematicae
12 Journal of Complexity
12 Journal of Mathematical Sciences (New York)
12 Journal of High Energy Physics
12 Advances in Mathematics of Communications
11 Discrete & Computational Geometry
11 Journal of Scheduling
10 Mathematische Zeitschrift
10 Proceedings of the Japan Academy. Series A
10 European Journal of Operational Research
10 Bulletin of the American Mathematical Society. New Series
9 SIAM Journal on Computing
9 Journal of Discrete Mathematical Sciences & Cryptography
8 Artificial Intelligence
8 Computers & Mathematics with Applications
8 Functiones et Approximatio. Commentarii Mathematici
8 Information Sciences
8 Monatshefte für Mathematik
8 Formalized Mathematics
7 Journal of Combinatorial Theory. Series A
7 Journal of the London Mathematical Society. Second Series
7 The Journal of Symbolic Logic
7 Annals of Operations Research
7 Journal of Global Optimization
7 Indagationes Mathematicae. New Series
7 SIAM Journal on Optimization
7 Theory of Computing Systems
7 SIAM Journal on Applied Algebra and Geometry
6 Applied Mathematics and Computation
6 Journal für die Reine und Angewandte Mathematik
6 Journal of Soviet Mathematics
6 International Journal of Computer Mathematics
6 Annals of Mathematics. Second Series
5 Mathematical Notes
5 Rocky Mountain Journal of Mathematics
5 Bulletin of the London Mathematical Society
5 Mathematics of Operations Research
5 Mathematika
5 European Journal of Combinatorics
5 Journal of the American Mathematical Society
5 Journal of the Ramanujan Mathematical Society
5 Japan Journal of Industrial and Applied Mathematics
5 RAIRO. Informatique Théorique et Applications
5 Journal of Algebraic Combinatorics
5 Foundations of Computational Mathematics
5 Journal of Physics A: Mathematical and Theoretical
5 Research in the Mathematical Sciences
4 Computer Physics Communications
4 Periodica Mathematica Hungarica
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Commentarii Mathematici Helvetici
4 Glasgow Mathematical Journal
4 Mathematical Programming
4 Michigan Mathematical Journal
...and 268 more Serials
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Cited in 60 Fields

1,396 Number theory (11-XX)
599 Computer science (68-XX)
480 Information and communication theory, circuits (94-XX)
363 Algebraic geometry (14-XX)
260 Operations research, mathematical programming (90-XX)
226 Field theory and polynomials (12-XX)
185 Group theory and generalizations (20-XX)
159 Combinatorics (05-XX)
145 Commutative algebra (13-XX)
92 Numerical analysis (65-XX)
86 Associative rings and algebras (16-XX)
73 Quantum theory (81-XX)
58 Convex and discrete geometry (52-XX)
56 Linear and multilinear algebra; matrix theory (15-XX)
54 Mathematical logic and foundations (03-XX)
41 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
25 Probability theory and stochastic processes (60-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
23 Special functions (33-XX)
22 Dynamical systems and ergodic theory (37-XX)
20 Category theory; homological algebra (18-XX)
20 \(K\)-theory (19-XX)
19 Topological groups, Lie groups (22-XX)
14 Manifolds and cell complexes (57-XX)
12 General and overarching topics; collections (00-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
12 Functions of a complex variable (30-XX)
12 Statistics (62-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 History and biography (01-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Ordinary differential equations (34-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Relativity and gravitational theory (83-XX)
8 Approximations and expansions (41-XX)
8 Abstract harmonic analysis (43-XX)
8 Functional analysis (46-XX)
8 Geometry (51-XX)
8 Algebraic topology (55-XX)
8 Biology and other natural sciences (92-XX)
7 Nonassociative rings and algebras (17-XX)
7 Systems theory; control (93-XX)
6 Partial differential equations (35-XX)
6 General topology (54-XX)
5 Differential geometry (53-XX)
4 Measure and integration (28-XX)
4 Sequences, series, summability (40-XX)
3 Real functions (26-XX)
3 Operator theory (47-XX)
3 Fluid mechanics (76-XX)
2 General algebraic systems (08-XX)
2 Potential theory (31-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Geophysics (86-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Mathematics education (97-XX)

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