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Lenstra, Hendrik W. jun.

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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
Documents Indexed: 141 Publications since 1968, including 9 Books
Biographic References: 1 Publication
all top 5

Serials

9 Mathematics of Computation
4 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 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 Lecture Notes in Mathematics
1 Cambridge Journal of Mathematics
1 European Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

110 Publications have been cited 2,279 times in 1,945 Documents Cited by Year
Factoring polynomials with rational coefficients. Zbl 0488.12001
Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László
557
1982
Integer programming with a fixed number of variables. Zbl 0524.90067
Lenstra, H. W. jun.
277
1983
Factoring integers with elliptic curves. Zbl 0629.10006
Lenstra, H. W. jun.
162
1987
Rational functions invariant under a finite Abelian group. Zbl 0292.20010
Lenstra, H. W. jun.
86
1974
On Artin’s conjecture and Euclid’s algorithm in global fields. Zbl 0362.12012
Lenstra, H. W. jun.
58
1977
Chebotarëv and his density theorem. Zbl 0885.11005
Stevenhagen, P.; Lenstra, H. W. jun.
57
1996
Primitive normal bases for finite fields. Zbl 0615.12023
Lenstra, H. W. jun.; Schoof, R. J.
54
1987
Forms in odd degree extensions and self-dual normal bases. Zbl 0729.12006
Bayer-Fluckiger, E.; Lenstra, H. W. jun.
52
1990
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.
49
1990
The development of the number field sieve. Zbl 0777.00017
Lenstra, A. K. (ed.); Lenstra, H. W. jun. (ed.)
47
1993
Heuristics on class groups of number fields. Zbl 0558.12002
Cohen, H.; Lenstra, H. W. jun.
44
1984
Algorithms in algebraic number theory. Zbl 0759.11046
Lenstra, H. W. jun.
43
1992
Factoring integers with the number field sieve. Zbl 0806.11067
Buhler, J. P.; Lenstra, H. W. jun.; Pomerance, Carl
35
1993
Finding isomorphisms between finite fields. Zbl 0709.11072
Lenstra, H. W. jun.
33
1991
Explicit construction of universal deformation rings. Zbl 0907.13010
De Smit, Bart; Lenstra, Hendrik W. jun.
31
1997
Subgroups close to normal subgroups. Zbl 0641.20023
Bergman, George M.; Lenstra, Hendrik W. jun.
27
1989
Approximating rings of integers in number fields. Zbl 0828.11075
Buchmann, J. A.; Lenstra, H. W. jun.
26
1994
Algorithms in number theory. Zbl 0900.68250
Lenstra, A. K.; Lenstra, H. W. jun.
25
1990
Optimal normal bases. Zbl 0770.11055
Gao, Shuhong; Lenstra, Hendrik W. jun.
25
1992
The number field sieve. Zbl 0806.11065
Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M.
23
1993
Euclidean number fields of large degree. Zbl 0328.12007
Lenstra, H. W. jun.
23
1977
Grothendieck groups of Abelian group rings. Zbl 0467.16016
Lenstra, H. W. jun.
22
1981
A rigorous time bound for factoring integers. Zbl 0770.11057
Lenstra, H. W. jun.; Pomerance, Carl
21
1992
Solving the Pell equation. Zbl 1126.11312
Lenstra, H. W. jun
20
2002
A Monte Carlo factoring algorithm with linear storage. Zbl 0559.10004
Schnorr, C. P.; Lenstra, H. W. jun.
18
1984
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
Complex multiplication structure of elliptic curves. Zbl 1044.11590
Lenstra, H. W. jun.
17
1996
Primality testing and Jacobi sums. Zbl 0578.10004
Cohen, H.; Lenstra, H. W. jun.
17
1984
Two theorems on perfect codes. Zbl 0248.94017
Lenstra, H. W. jun.
16
1972
Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018
Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A.
15
1991
Abelian varieties having purely additive reduction. Zbl 0557.14022
Lenstra, H. W. jun.; Oort, F.
14
1985
Finding small degree factors of lacunary polynomials. Zbl 0949.11053
Lenstra, H. W. jun.
13
1999
Miller’s primality test. Zbl 0399.10006
Lenstra, H. W. jun.
13
1979
Character sums for primitive root densities. Zbl 1353.11104
Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P.
13
2014
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
13
2015
Euclidean ideal classes. Zbl 0401.12005
Lenstra, H. W. jun.
11
1979
A sharpened version of the Aanderaa-Rosenberg conjecture. Zbl 0294.05125
Best, M. R.; van Emde Boas, P.; Lenstra, H. W. jun.
11
1974
Euclid’s algorithm in cyclotomic fields. Zbl 0313.12001
Lenstra, H. W. jun.
11
1975
A family of exceptional polynomials in characteristic three. Zbl 0871.11087
Lenstra, H. W. jun.; Zieve, M.
10
1996
Galois theory and primality testing. Zbl 0571.10005
Lenstra, H. W. jun.
10
1985
A hyperelliptic smoothness test. I. Zbl 0808.11073
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
9
1993
Simple abelian varieties having a prescribed formal isogeny type. Zbl 0279.14009
Lenstra, Hendrik W. jun.; Oort, Frans
9
1974
Complete systems of two addition laws for elliptic curves. Zbl 0841.14027
Bosma, W.; Lenstra, H. W. jun.
8
1995
On the factorization of lacunary polynomials. Zbl 0943.11047
Lenstra, H. W. jun.
8
1999
Lectures on Euclidean rings. Zbl 0344.13005
Lenstra, H. W. jun.
8
1974
Divisors in residue classes. Zbl 0531.10002
Lenstra, H. W. jun.
8
1984
Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070
Lenstra, H. W.; Silverberg, A.
8
2014
The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022
Lenstra, Hendrik jun.; Zarhin, Yuri G.
7
1993
\(K_2\) of a global field consists of symbols. Zbl 0345.13008
Lenstra, H. W.
7
1976
Factoring polynomials with rational coefficients. Zbl 0477.68043
Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László
7
1982
On the Chor-Rivest knapsack cryptosystem. Zbl 0725.94003
Lenstra, H. W. jun.
7
1991
A hyperelliptic smoothness test. II. Zbl 0983.11072
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
7
2002
Complete intersections and Gorenstein rings. Zbl 0860.13012
Lenstra, H. W. jun.
6
1995
Primality testing with Gaussian periods. Zbl 1027.68984
Lenstra, H. W. jun.
6
2002
Euclidean number fields. I. II. III. Zbl 0433.12004
Lenstra, Hendrik W. jun.
6
1979
Primality testing with Gaussian periods. Zbl 1429.11221
Lenstra, Hendrik W. jun.; Pomerance, Carl B.
6
2019
On a problem of Garcia, Stichtenoth, and Thomas. Zbl 1041.11046
Lenstra, H. W. jun.
5
2002
The number field sieve: An annotated bibliography. Zbl 0806.11063
Lenstra, H. W. jun.
5
1993
Linearly equivalent actions of solvable groups. Zbl 0958.20011
de Smit, B.; Lenstra, H. W. jun.
5
2000
Vanishing sums of roots of unity. Zbl 0411.12003
Lenstra, H. W. jun.
5
1979
Lattices. Zbl 1200.11046
Lenstra, Hendrik W. jun.
5
2008
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
On the calculation of regulators and class numbers of quadratic fields. Zbl 0487.12003
Lenstra, H. W. jun.
5
1982
Heuristics on class groups. Zbl 0532.12008
Cohen, H.; Lenstra, H. W. jun.
5
1984
Factoring polynomials over special finite fields. Zbl 0985.11060
Bach, Eric; von zur Gathen, Joachim; Lenstra, Hendrik W. jun.
4
2001
Abelian subvarieties. Zbl 0861.14037
Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G.
4
1996
Flags and lattice basis reduction. Zbl 1101.11053
Lenstra, Hendrik W. jun.
4
2001
Detecting perfect powers by factoring into coprimes. Zbl 1110.11038
Bernstein, Daniel J.; Lenstra, Hendrik W. jun.; Pila, Jonathan
4
2007
Primality testing. Zbl 0507.10003
Lenstra, H. W. jun.
4
1982
Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056
Lenstra, H. W. jun.; Stevenhagen, P.
4
1991
The acyclic subgraph problem. Zbl 0304.90112
Lenstra, H. W. jun.
4
1973
Profinite Fibonacci numbers. Zbl 1138.11307
Lenstra, Hendrik
4
2005
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
Continued fractions and linear recurrences. Zbl 0797.11006
Lenstra, H. W.; Shallit, J. O.
3
1993
Quelques exemples d’anneaux euclidiens. Zbl 0381.12005
Lenstra, Hendrik W. jun.
3
1978
Solving the Pell equation. Zbl 1178.11077
Lenstra, Hendrik W. jun.
3
2008
Elliptic curves and number-theoretic algorithms. Zbl 0686.14039
Lenstra, H. W. jun.
3
1987
Computational methods in number theory. Part I, II. Zbl 0497.00005
Lenstra, H. W. jun. (ed.); Tijdeman, R. (ed.)
3
1982
Abelian extensions of arbitrary fields. Zbl 0293.12102
Kuyk, W.; Lenstra, H. W. jun.
3
1975
Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058
Lenstra, H. W. jun.; Silverberg, A.
3
2018
Roots of unity in orders. Zbl 1384.16012
Lenstra, H. W. jun.; Silverberg, A.
3
2017
Finite complete intersection algebras and the completeness radical. Zbl 0906.13001
de Smit, B.; Lenstra, H. W. jun.
2
1997
Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012
Lenstra, H. W. jun.; Stevenhagen, P.
2
1997
Artin reciprocity and Mersenne primes. Zbl 1011.11006
Lenstra, H. W. jun.; Stevenhagen, P.
2
2000
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
Groups with finitely many non-normal subgroups. Zbl 0668.20029
Hekster, N. S.; Lenstra, H. W. jun.
2
1990
Primality testing algorithms (after Adleman, Rumely and Williams). Zbl 0476.10005
Lenstra, H. W. jun.
2
1981
Automorphisms of finite fields. Zbl 0695.12012
Lenstra, H. W. jun.
2
1990
Explicit methods in number theory. Abstracts from the workshop held July 15–21, 2007. Zbl 1177.11004
Cohen, Henri (ed.); Lenstra, Hendrik W. jun. (ed.); Zagier, Don (ed.)
2
2007
Lattices with symmetry. Zbl 1377.94060
Lenstra, H. W. jun.; Silverberg, A.
2
2017
Determining cyclicity of finite modules. Zbl 1348.13027
Lenstra, H. W.; Silverberg, A.
2
2016
Profinite number theory. Zbl 1357.11117
Lenstra, Hendrik
2
2016
Sharp characters with only one rational value. Zbl 0809.20002
Alvis, Dean; Kiyota, Masao; Lenstra, Hendrik W. jun.; Nozawa, Sôhei
1
1994
Artful mathematics: the heritage of M. C. Escher. Zbl 1159.01353
de Smit, B.; Lenstra, H. W. jun.; Dunham, Douglas; Sarhangi, Reza
1
2003
On the algebraic closure of two. Zbl 0366.04007
Lenstra, H. W. jun.
1
1977
Euclid’s algorithm in large Dedekind domains. Zbl 0687.13012
Lenstra, H. W. jun.
1
1986
Codes from algebraic number fields. Zbl 0617.94010
Lenstra, H. W. jun.
1
1986
On class groups of random number fields. Zbl 07242519
Bartel, Alex; Lenstra, Hendrik W.
1
2020
Primality testing with Gaussian periods. Zbl 1429.11221
Lenstra, Hendrik W. jun.; Pomerance, Carl B.
6
2019
Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058
Lenstra, H. W. jun.; Silverberg, A.
3
2018
Universal gradings of orders. Zbl 1453.13004
Lenstra, H. W. jun.; Silverberg, A.
1
2018
Roots of unity in orders. Zbl 1384.16012
Lenstra, H. W. jun.; Silverberg, A.
3
2017
Lattices with symmetry. Zbl 1377.94060
Lenstra, H. W. jun.; Silverberg, A.
2
2017
Commensurability of automorphism groups. Zbl 1381.11105
Bartel, Alex; Lenstra, Hendrik W. Jr.
1
2017
Determining cyclicity of finite modules. Zbl 1348.13027
Lenstra, H. W.; Silverberg, A.
2
2016
Profinite number theory. Zbl 1357.11117
Lenstra, Hendrik
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
13
2015
Character sums for primitive root densities. Zbl 1353.11104
Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P.
13
2014
Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070
Lenstra, H. W.; Silverberg, A.
8
2014
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.
5
2008
Solving the Pell equation. Zbl 1178.11077
Lenstra, Hendrik W. jun.
3
2008
Detecting perfect powers by factoring into coprimes. Zbl 1110.11038
Bernstein, Daniel J.; Lenstra, Hendrik W. jun.; Pila, Jonathan
4
2007
Explicit methods in number theory. Abstracts from the workshop held July 15–21, 2007. Zbl 1177.11004
Cohen, Henri; Lenstra, Hendrik W. jun.; Zagier, Don
2
2007
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
1
2003
Solving the Pell equation. Zbl 1126.11312
Lenstra, H. W. jun
20
2002
A hyperelliptic smoothness test. II. Zbl 0983.11072
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
7
2002
Primality testing with Gaussian periods. Zbl 1027.68984
Lenstra, H. W. jun.
6
2002
On a problem of Garcia, Stichtenoth, and Thomas. Zbl 1041.11046
Lenstra, H. W. jun.
5
2002
Factoring polynomials over special finite fields. Zbl 0985.11060
Bach, Eric; von zur Gathen, Joachim; Lenstra, Hendrik W. jun.
4
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.
2
2000
Finding small degree factors of lacunary polynomials. Zbl 0949.11053
Lenstra, H. W. jun.
13
1999
On the factorization of lacunary polynomials. Zbl 0943.11047
Lenstra, H. W. jun.
8
1999
Explicit construction of universal deformation rings. Zbl 0907.13010
De Smit, Bart; Lenstra, Hendrik W. jun.
31
1997
Finite complete intersection algebras and the completeness radical. Zbl 0906.13001
de Smit, B.; Lenstra, H. W. jun.
2
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.
57
1996
Complex multiplication structure of elliptic curves. Zbl 1044.11590
Lenstra, H. W. jun.
17
1996
A family of exceptional polynomials in characteristic three. Zbl 0871.11087
Lenstra, H. W. jun.; Zieve, M.
10
1996
Abelian subvarieties. Zbl 0861.14037
Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G.
4
1996
Complete systems of two addition laws for elliptic curves. Zbl 0841.14027
Bosma, W.; Lenstra, H. W. jun.
8
1995
Complete intersections and Gorenstein rings. Zbl 0860.13012
Lenstra, H. W. jun.
6
1995
Approximating rings of integers in number fields. Zbl 0828.11075
Buchmann, J. A.; Lenstra, H. W. jun.
26
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
Lenstra, A. K.; Lenstra, H. W. jun.
47
1993
Factoring integers with the number field sieve. Zbl 0806.11067
Buhler, J. P.; Lenstra, H. W. jun.; Pomerance, Carl
35
1993
The number field sieve. Zbl 0806.11065
Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M.
23
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
A hyperelliptic smoothness test. I. Zbl 0808.11073
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
9
1993
The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022
Lenstra, Hendrik jun.; Zarhin, Yuri G.
7
1993
The number field sieve: An annotated bibliography. Zbl 0806.11063
Lenstra, H. W. jun.
5
1993
Continued fractions and linear recurrences. Zbl 0797.11006
Lenstra, H. W.; Shallit, J. O.
3
1993
Algorithms in algebraic number theory. Zbl 0759.11046
Lenstra, H. W. jun.
43
1992
Optimal normal bases. Zbl 0770.11055
Gao, Shuhong; Lenstra, Hendrik W. jun.
25
1992
A rigorous time bound for factoring integers. Zbl 0770.11057
Lenstra, H. W. jun.; Pomerance, Carl
21
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.
33
1991
Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018
Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A.
15
1991
On the Chor-Rivest knapsack cryptosystem. Zbl 0725.94003
Lenstra, H. W. jun.
7
1991
Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056
Lenstra, H. W. jun.; Stevenhagen, P.
4
1991
Forms in odd degree extensions and self-dual normal bases. Zbl 0729.12006
Bayer-Fluckiger, E.; Lenstra, H. W. jun.
52
1990
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.
49
1990
Algorithms in number theory. Zbl 0900.68250
Lenstra, A. K.; Lenstra, H. W. jun.
25
1990
Groups with finitely many non-normal subgroups. Zbl 0668.20029
Hekster, N. S.; Lenstra, H. W. jun.
2
1990
Automorphisms of finite fields. Zbl 0695.12012
Lenstra, H. W. jun.
2
1990
Subgroups close to normal subgroups. Zbl 0641.20023
Bergman, George M.; Lenstra, Hendrik W. jun.
27
1989
Factoring integers with elliptic curves. Zbl 0629.10006
Lenstra, H. W. jun.
162
1987
Primitive normal bases for finite fields. Zbl 0615.12023
Lenstra, H. W. jun.; Schoof, R. J.
54
1987
Elliptic curves and number-theoretic algorithms. Zbl 0686.14039
Lenstra, H. W. jun.
3
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
Euclid’s algorithm in large Dedekind domains. Zbl 0687.13012
Lenstra, H. W. jun.
1
1986
Codes from algebraic number fields. Zbl 0617.94010
Lenstra, H. W. jun.
1
1986
Abelian varieties having purely additive reduction. Zbl 0557.14022
Lenstra, H. W. jun.; Oort, F.
14
1985
Galois theory and primality testing. Zbl 0571.10005
Lenstra, H. W. jun.
10
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.
44
1984
A Monte Carlo factoring algorithm with linear storage. Zbl 0559.10004
Schnorr, C. P.; Lenstra, H. W. jun.
18
1984
Primality testing and Jacobi sums. Zbl 0578.10004
Cohen, H.; Lenstra, H. W. jun.
17
1984
Divisors in residue classes. Zbl 0531.10002
Lenstra, H. W. jun.
8
1984
Heuristics on class groups. Zbl 0532.12008
Cohen, H.; Lenstra, H. W. jun.
5
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.
277
1983
Factoring polynomials with rational coefficients. Zbl 0488.12001
Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László
557
1982
Factoring polynomials with rational coefficients. Zbl 0477.68043
Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László
7
1982
On the calculation of regulators and class numbers of quadratic fields. Zbl 0487.12003
Lenstra, H. W. jun.
5
1982
Primality testing. Zbl 0507.10003
Lenstra, H. W. jun.
4
1982
Computational methods in number theory. Part I, II. Zbl 0497.00005
Lenstra, H. W. jun.; Tijdeman, R.
3
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.
22
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.
13
1979
Euclidean ideal classes. Zbl 0401.12005
Lenstra, H. W. jun.
11
1979
Euclidean number fields. I. II. III. Zbl 0433.12004
Lenstra, Hendrik W. jun.
6
1979
Vanishing sums of roots of unity. Zbl 0411.12003
Lenstra, H. W. jun.
5
1979
Quelques exemples d’anneaux euclidiens. Zbl 0381.12005
Lenstra, Hendrik W. jun.
3
1978
Nim multiplication. Zbl 0395.90119
Lenstra, H. W. jun.
2
1978
On Artin’s conjecture and Euclid’s algorithm in global fields. Zbl 0362.12012
Lenstra, H. W. jun.
58
1977
Euclidean number fields of large degree. Zbl 0328.12007
Lenstra, H. W. jun.
23
1977
On the algebraic closure of two. Zbl 0366.04007
Lenstra, H. W. jun.
1
1977
...and 10 more Documents
all top 5

Cited by 2,471 Authors

27 Shparlinski, Igor E.
20 Lenstra, Hendrik W. jun.
16 Bleher, Frauke M.
14 Moree, Pieter
13 Buchmann, Johannes A.
13 Niedermeier, Rolf
12 Hoshi, Akinari
12 Kang, Ming-Chang
12 Sarkar, Santanu
11 Silverberg, Alice
11 Weismantel, Robert
10 Beneish, Esther
10 Knop, Dušan
9 Chinburg, Ted
9 Klüners, Jürgen
9 Koutecký, Martin
9 Peng, Liqiang
8 Bach, Eric
8 Bayer-Fluckiger, Eva
8 Bernstein, Daniel Julius
8 Gao, Shuhong
8 Kunihiro, Noboru
8 Lenstra, Arjen K.
8 Pohst, Michael E.
8 Saltman, David J.
8 Schnorr, Claus Peter
8 Takayasu, Atsushi
8 von zur Gathen, Joachim
8 Williams, Hugh Cowie
8 Woeginger, Gerhard Johannes
7 Bredereck, Robert
7 Cai, Jin-Yi
7 Futa, Yuichi
7 Lercier, Reynald
7 Lu, Yao
7 Nichterlein, André
7 Nitaj, Abderrahmane
7 Panario, Daniel
7 Reis, Lucas
7 Rojas, J. Maurice
7 Shidama, Yasunari
7 Sutherland, Andrew V.
7 van Hoeij, Mark
7 Wagner, Frank Olaf
7 Yamasaki, Aiichi
7 Yasuda, Masaya
7 Zarkhin, Yuriĭ Gennad’evich
6 Cheon, Jung Hee
6 Cook, William John
6 De Loera, Jesús A.
6 Fan, Shuqin
6 Gutierrez, Jaime
6 Hu, Lei
6 Kleinjung, Thorsten
6 Naccache, David
6 Oertel, Timm
6 Parimala, Raman
6 Pomerance, Carl Bernard
6 Smart, Nigel P.
6 Stevenhagen, Peter
6 Webb, David L.
5 Belabas, Karim
5 Clark, Peter Louis
5 Cornuéjols, Gérard P.
5 de Weger, Benjamin M. M.
5 Eisenbrand, Friedrich
5 Feng, Keqin
5 Ganian, Robert
5 Granger, Robert A.
5 Guralnick, Robert Michael
5 Hachenberger, Dirk
5 Hajja, Mowaffaq
5 Han, Wenbao
5 Hauenstein, Jonathan D.
5 Hemmecke, Raymond
5 Joux, Antoine
5 Kaltofen, Erich L.
5 Kapetanakis, Giorgos
5 Kaplan, Nathan
5 Khadir, Omar
5 Koblitz, Neal I.
5 Kratsch, Stefan
5 Lee, Hyangsook
5 Liao, Qunying
5 Maitra, Subhamoy
5 Morain, François
5 Mossinghoff, Michael J.
5 Schost, Éric
5 Smith, Ethan
5 Sorenson, Jonathan P.
5 Susilo, Willy
5 Talmon, Nimrod
5 Wan, Daqing
4 Aono, Yoshinori
4 Avendano, Martin
4 Averkov, Gennadiy
4 Barbulescu, Razvan
4 Bitan, Rony A.
4 Brent, Richard Peirce
4 Bröker, Reinier
...and 2,371 more Authors
all top 5

Cited in 312 Serials

153 Mathematics of Computation
111 Journal of Number Theory
78 Journal of Algebra
65 Journal of Symbolic Computation
62 Theoretical Computer Science
46 Journal de Théorie des Nombres de Bordeaux
46 Finite Fields and their Applications
42 Designs, Codes and Cryptography
28 Discrete Applied Mathematics
27 Transactions of the American Mathematical Society
27 Algorithmica
23 Journal of Pure and Applied Algebra
23 Experimental Mathematics
22 Mathematical Programming. Series A. Series B
21 Journal of Computer and System Sciences
20 Communications in Algebra
20 Proceedings of the American Mathematical Society
20 Journal of Cryptology
19 Discrete Mathematics
19 Journal of Mathematical Cryptology
18 Information Processing Letters
18 Archiv der Mathematik
18 Duke Mathematical Journal
18 Mathematische Annalen
17 Operations Research Letters
16 LMS Journal of Computation and Mathematics
15 Information and Computation
15 Linear Algebra and its Applications
14 Israel Journal of Mathematics
14 Mathematical Proceedings of the Cambridge Philosophical Society
14 The Mathematical Intelligencer
14 The Ramanujan Journal
14 International Journal of Number Theory
13 Applicable Algebra in Engineering, Communication and Computing
12 Advances in Mathematics
12 Combinatorica
12 Computational Complexity
11 Annales de l’Institut Fourier
11 Compositio Mathematica
11 Journal of Complexity
11 Discrete Optimization
10 Bulletin of the Australian Mathematical Society
10 Manuscripta Mathematica
10 Proceedings of the Japan Academy. Series A
10 European Journal of Operational Research
10 Bulletin of the American Mathematical Society. New Series
10 Journal of Mathematical Sciences (New York)
10 Advances in Mathematics of Communications
9 Inventiones Mathematicae
9 Mathematische Zeitschrift
8 Computers & Mathematics with Applications
8 SIAM Journal on Discrete Mathematics
8 Formalized Mathematics
7 Information Sciences
7 The Journal of Symbolic Logic
7 Monatshefte für Mathematik
7 Journal of High Energy Physics
6 Acta Arithmetica
6 Applied Mathematics and Computation
6 Functiones et Approximatio. Commentarii Mathematici
6 Journal of Combinatorial Theory. Series A
6 Journal of Soviet Mathematics
6 Discrete & Computational Geometry
6 Journal of Global Optimization
6 International Journal of Computer Mathematics
6 Annals of Mathematics. Second Series
6 Journal of Algebra and its Applications
5 Mathematical Notes
5 Rocky Mountain Journal of Mathematics
5 Mathematics of Operations Research
5 SIAM Journal on Computing
5 European Journal of Combinatorics
5 Journal of the American Mathematical Society
5 RAIRO. Informatique Théorique et Applications
5 Indagationes Mathematicae. New Series
5 SIAM Journal on Optimization
5 Journal of Scheduling
5 Journal of Discrete Mathematical Sciences & Cryptography
5 Foundations of Computational Mathematics
5 Research in the Mathematical Sciences
4 Artificial Intelligence
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Journal für die Reine und Angewandte Mathematik
4 Mathematical Programming
4 Michigan Mathematical Journal
4 Advances in Applied Mathematics
4 Annals of Pure and Applied Logic
4 \(K\)-Theory
4 Annals of Operations Research
4 Journal of Algebraic Combinatorics
4 Transformation Groups
4 Theory of Computing Systems
4 Journal of the European Mathematical Society (JEMS)
4 Science China. Mathematics
3 American Mathematical Monthly
3 Moscow University Mathematics Bulletin
3 Periodica Mathematica Hungarica
3 Bulletin of Mathematical Biology
3 Journal of Geometry and Physics
3 Commentarii Mathematici Helvetici
...and 212 more Serials
all top 5

Cited in 57 Fields

1,066 Number theory (11-XX)
414 Computer science (68-XX)
290 Information and communication theory, circuits (94-XX)
275 Algebraic geometry (14-XX)
192 Field theory and polynomials (12-XX)
186 Operations research, mathematical programming (90-XX)
152 Group theory and generalizations (20-XX)
117 Commutative algebra (13-XX)
109 Combinatorics (05-XX)
83 Numerical analysis (65-XX)
75 Associative rings and algebras (16-XX)
48 Mathematical logic and foundations (03-XX)
42 Convex and discrete geometry (52-XX)
36 Linear and multilinear algebra; matrix theory (15-XX)
36 Quantum theory (81-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
19 Special functions (33-XX)
18 Category theory; homological algebra (18-XX)
18 \(K\)-theory (19-XX)
17 Dynamical systems and ergodic theory (37-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
14 Topological groups, Lie groups (22-XX)
14 Probability theory and stochastic processes (60-XX)
12 Manifolds and cell complexes (57-XX)
11 Functions of a complex variable (30-XX)
10 History and biography (01-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
8 Approximations and expansions (41-XX)
7 Ordinary differential equations (34-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Abstract harmonic analysis (43-XX)
6 Functional analysis (46-XX)
6 Geometry (51-XX)
6 Algebraic topology (55-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Statistics (62-XX)
6 Relativity and gravitational theory (83-XX)
6 Biology and other natural sciences (92-XX)
5 General and overarching topics; collections (00-XX)
5 Nonassociative rings and algebras (17-XX)
5 Differential geometry (53-XX)
4 Sequences, series, summability (40-XX)
4 General topology (54-XX)
4 Systems theory; control (93-XX)
3 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Partial differential equations (35-XX)
2 Operator theory (47-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Geophysics (86-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Mathematics education (97-XX)

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