Edit Profile (opens in new tab) Lenstra, Hendrik W. jun. Compute Distance To: Compute Author ID: 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: 135 Publications since 1968, including 7 Books 6 Contributions as Editor · 3 Further Contributions Biographic References: 1 Publication Co-Authors: 53 Co-Authors with 70 Joint Publications 2,005 Co-Co-Authors all top 5 Co-Authors 74 single-authored 8 Lenstra, Arjen K. 7 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 Lovász, László 3 Manasse, Mark S. 3 Oort, Frans 3 Pollard, John M. 2 Bartel, Alex 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 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 1 Nozawa, Sôhei ...and 35 more Co-Authors 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 Séminaire de Théorie des Nombres 1 European Journal of Mathematics 1 Discrete Mathematics and its Applications all top 5 Fields 108 Number theory (11-XX) 27 Computer science (68-XX) 21 Commutative algebra (13-XX) 19 Algebraic geometry (14-XX) 13 Field theory and polynomials (12-XX) 12 Information and communication theory, circuits (94-XX) 11 General and overarching topics; collections (00-XX) 10 Group theory and generalizations (20-XX) 8 History and biography (01-XX) 6 Associative rings and algebras (16-XX) 4 Combinatorics (05-XX) 4 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 2,572 times in 2,071 Documents Cited by ▼ Year ▼ Factoring polynomials with rational coefficients. Zbl 0488.12001Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 607 1982 Integer programming with a fixed number of variables. Zbl 0524.90067Lenstra, H. W. jun. 305 1983 Factoring integers with elliptic curves. Zbl 0629.10006Lenstra, H. W. jun. 171 1987 Handbook of finite fields. Zbl 1319.11001 150 2013 Rational functions invariant under a finite Abelian group. Zbl 0292.20010Lenstra, H. W. jun. 86 1974 Chebotarëv and his density theorem. Zbl 0885.11005Stevenhagen, P.; Lenstra, H. W. jun. 65 1996 Primitive normal bases for finite fields. Zbl 0615.12023Lenstra, H. W. jun.; Schoof, R. J. 60 1987 On Artin’s conjecture and Euclid’s algorithm in global fields. Zbl 0362.12012Lenstra, H. W. jun. 59 1977 Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice. Zbl 0723.11029Lagarias, J. C.; Lenstra, H. W. jun.; Schnorr, C. P. 53 1990 Forms in odd degree extensions and self-dual normal bases. Zbl 0729.12006Bayer-Fluckiger, E.; Lenstra, H. W. jun. 52 1990 The development of the number field sieve. Zbl 0777.00017 49 1993 Algorithms in algebraic number theory. Zbl 0759.11046Lenstra, H. W. jun. 45 1992 Heuristics on class groups of number fields. Zbl 0558.12002Cohen, H.; Lenstra, H. W. jun. 45 1984 Factoring integers with the number field sieve. Zbl 0806.11067Buhler, J. P.; Lenstra, H. W. jun.; Pomerance, Carl 36 1993 Finding isomorphisms between finite fields. Zbl 0709.11072Lenstra, H. W. jun. 33 1991 Explicit construction of universal deformation rings. Zbl 0907.13010De Smit, Bart; Lenstra, Hendrik W. jun. 32 1997 Subgroups close to normal subgroups. Zbl 0641.20023Bergman, George M.; Lenstra, Hendrik W. jun. 27 1989 Approximating rings of integers in number fields. Zbl 0828.11075Buchmann, J. A.; Lenstra, H. W. jun. 26 1994 Optimal normal bases. Zbl 0770.11055Gao, Shuhong; Lenstra, Hendrik W. jun. 25 1992 Algorithms in number theory. Zbl 0900.68250Lenstra, A. K.; Lenstra, H. W. jun. 25 1990 The number field sieve. Zbl 0806.11065Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 25 1993 Euclidean number fields of large degree. Zbl 0328.12007Lenstra, H. W. jun. 24 1977 Grothendieck groups of Abelian group rings. Zbl 0467.16016Lenstra, H. W. jun. 23 1981 A rigorous time bound for factoring integers. Zbl 0770.11057Lenstra, H. W. jun.; Pomerance, Carl 21 1992 Solving the Pell equation. Zbl 1126.11312Lenstra, H. W. jun 21 2002 A Monte Carlo factoring algorithm with linear storage. Zbl 0559.10004Schnorr, C. P.; Lenstra, H. W. jun. 19 1984 Complex multiplication structure of elliptic curves. Zbl 1044.11590Lenstra, H. W. jun. 18 1996 Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A. 17 1991 Primality testing and Jacobi sums. Zbl 0578.10004Cohen, H.; Lenstra, H. W. jun. 17 1984 Two theorems on perfect codes. Zbl 0248.94017Lenstra, H. W. jun. 17 1972 The factorization of the ninth Fermat number. Zbl 0792.11055Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 17 1993 Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric 16 2015 Abelian varieties having purely additive reduction. Zbl 0557.14022Lenstra, H. W. jun.; Oort, F. 14 1985 Character sums for primitive root densities. Zbl 1353.11104Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P. 14 2014 Miller’s primality test. Zbl 0399.10006Lenstra, H. W. jun. 14 1979 Finding small degree factors of lacunary polynomials. Zbl 0949.11053Lenstra, H. W. jun. 13 1999 Galois theory and primality testing. Zbl 0571.10005Lenstra, H. W. jun. 11 1985 Euclidean ideal classes. Zbl 0401.12005Lenstra, H. W. jun. 11 1979 A sharpened version of the Aanderaa-Rosenberg conjecture. Zbl 0294.05125Best, M. R.; van Emde Boas, P.; Lenstra, H. W. jun. 11 1974 Euclid’s algorithm in cyclotomic fields. Zbl 0313.12001Lenstra, H. W. jun. 11 1975 A family of exceptional polynomials in characteristic three. Zbl 0871.11087Lenstra, H. W. jun.; Zieve, M. 10 1996 A hyperelliptic smoothness test. I. Zbl 0808.11073Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl 9 1993 Simple abelian varieties having a prescribed formal isogeny type. Zbl 0279.14009Lenstra, Hendrik W. jun.; Oort, Frans 9 1974 Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070Lenstra, H. W.; Silverberg, A. 9 2014 On the Chor-Rivest knapsack cryptosystem. Zbl 0725.94003Lenstra, H. W. jun. 8 1991 On the factorization of lacunary polynomials. Zbl 0943.11047Lenstra, H. W. jun. 8 1999 Primality testing with Gaussian periods. Zbl 1429.11221Lenstra, Hendrik W. jun.; Pomerance, Carl B. 8 2019 Divisors in residue classes. Zbl 0531.10002Lenstra, H. W. jun. 8 1984 Complete systems of two addition laws for elliptic curves. Zbl 0841.14027Bosma, W.; Lenstra, H. W. jun. 8 1995 Factoring polynomials with rational coefficients. Zbl 0477.68043Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 8 1982 Lectures on Euclidean rings. Zbl 0344.13005Lenstra, H. W. jun. 8 1974 A hyperelliptic smoothness test. II. Zbl 0983.11072Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl 7 2002 Complete intersections and Gorenstein rings. Zbl 0860.13012Lenstra, H. W. jun. 7 1995 Vanishing sums of roots of unity. Zbl 0411.12003Lenstra, H. W. jun. 7 1979 \(K_2\) of a global field consists of symbols. Zbl 0345.13008Lenstra, H. W. 7 1976 The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022Lenstra, Hendrik jun.; Zarhin, Yuri G. 7 1993 Lattices. Zbl 1200.11046Lenstra, Hendrik W. jun. 6 2008 Primality testing with Gaussian periods. Zbl 1027.68984Lenstra, H. W. jun. 6 2002 Euclidean number fields. I. II. III. Zbl 0433.12004Lenstra, Hendrik W. jun. 6 1979 On a problem of Garcia, Stichtenoth, and Thomas. Zbl 1041.11046Lenstra, H. W. jun. 5 2002 Factoring integers with elliptic curves. Zbl 0596.10007Lenstra, H. W. jun. 5 1986 Heuristics on class groups. Zbl 0532.12008Cohen, H.; Lenstra, H. W. jun. 5 1984 A normal basis theorem for infinite Galois extensions. Zbl 0569.12013Lenstra, H. W. jun. 5 1985 Linearly equivalent actions of solvable groups. Zbl 0958.20011de Smit, B.; Lenstra, H. W. jun. 5 2000 Abelian subvarieties. Zbl 0861.14037Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G. 5 1996 On the calculation of regulators and class numbers of quadratic fields. Zbl 0487.12003Lenstra, H. W. jun. 5 1982 The history of the LLL-algorithm. In collaboration with Arjen Lenstra, Hendrik Lenstra, László Lovász, and Peter van Emde Boas. Zbl 1230.11002Smeets, Ionica; Lenstra, Arjen; Lenstra, Hendrik; Lovász, László; Van Emde Boas, Peter 4 2010 Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056Lenstra, H. W. jun.; Stevenhagen, P. 4 1991 Detecting perfect powers by factoring into coprimes. Zbl 1110.11038Bernstein, Daniel J.; Lenstra, Hendrik W. jun.; Pila, Jonathan 4 2007 Primality testing. Zbl 0507.10003Lenstra, H. W. jun. 4 1982 Elliptic curves and number-theoretic algorithms. Zbl 0686.14039Lenstra, H. W. jun. 4 1987 Factoring polynomials over special finite fields. Zbl 0985.11060Bach, Eric; von zur Gathen, Joachim; Lenstra, Hendrik W. jun. 4 2001 Flags and lattice basis reduction. Zbl 1101.11053Lenstra, Hendrik W. jun. 4 2001 The acyclic subgraph problem. Zbl 0304.90112Lenstra, H. W. jun. 4 1973 Profinite Fibonacci numbers. Zbl 1138.11307Lenstra, Hendrik 4 2005 Continued fractions and linear recurrences. Zbl 0797.11006Lenstra, H. W.; Shallit, J. O. 4 1993 The number field sieve: An annotated bibliography. Zbl 0806.11063Lenstra, H. W. jun. 4 1993 Solving the Pell equation. Zbl 1178.11077Lenstra, Hendrik W. jun. 3 2008 Computational methods in number theory. Part I, II. Zbl 0497.00005 3 1982 Roots of unity in orders. Zbl 1384.16012Lenstra, H. W. jun.; Silverberg, A. 3 2017 Quelques exemples d’anneaux euclidiens. Zbl 0381.12005Lenstra, Hendrik W. jun. 3 1978 Abelian extensions of arbitrary fields. Zbl 0293.12102Kuyk, W.; Lenstra, H. W. jun. 3 1975 Lattices with symmetry. Zbl 1377.94060Lenstra, H. W. jun.; Silverberg, A. 3 2017 Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058Lenstra, H. W. jun.; Silverberg, A. 3 2018 Explicit methods in number theory. Abstracts from the workshop held July 15–21, 2007. Zbl 1177.11004 2 2007 Profinite number theory. Zbl 1357.11117Lenstra, Hendrik 2 2016 Determining cyclicity of finite modules. Zbl 1348.13027Lenstra, H. W.; Silverberg, A. 2 2016 Primality testing and Jacobi sums. Zbl 0647.10009Cohen, H.; Lenstra, H. W. jun. 2 1987 Groups with finitely many non-normal subgroups. Zbl 0668.20029Hekster, N. S.; Lenstra, H. W. jun. 2 1990 Automorphisms of finite fields. Zbl 0695.12012Lenstra, H. W. jun. 2 1990 Finite complete intersection algebras and the completeness radical. Zbl 0906.13001de Smit, B.; Lenstra, H. W. jun. 2 1997 Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012Lenstra, H. W. jun.; Stevenhagen, P. 2 1997 Nim multiplication. Zbl 0395.90119Lenstra, H. W. jun. 2 1978 Rational functions invariant under a cyclic group. Zbl 0453.12008Lenstra, H. W. jun. 2 1980 Primality testing. Zbl 0459.10007Lenstra, H. W. jun. 2 1980 Primality testing algorithms (after Adleman, Rumely and Williams). Zbl 0476.10005Lenstra, H. W. jun. 2 1981 Artin reciprocity and Mersenne primes. Zbl 1011.11006Lenstra, H. W. jun.; Stevenhagen, P. 2 2000 Irreducible cubics modulo five. Zbl 1226.11128Lenstra, Hendrik 1 2010 On the algebraic closure of two. Zbl 0366.04007Lenstra, H. W. jun. 1 1977 Ode to the number 43. Zbl 1263.00002Lenstra, Hendrik 1 2009 On class groups of random number fields. Zbl 1470.11275Bartel, Alex; Lenstra, Hendrik W. 1 2020 Primality testing with Gaussian periods. Zbl 1429.11221Lenstra, Hendrik W. jun.; Pomerance, Carl B. 8 2019 Testing isomorphism of lattices over CM-orders. Zbl 1473.11228Lenstra, Hendrik W. Jr.; Silverberg, Alice 1 2019 Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058Lenstra, H. W. jun.; Silverberg, A. 3 2018 Universal gradings of orders. Zbl 1453.13004Lenstra, H. W. jun.; Silverberg, A. 1 2018 Roots of unity in orders. Zbl 1384.16012Lenstra, H. W. jun.; Silverberg, A. 3 2017 Lattices with symmetry. Zbl 1377.94060Lenstra, H. W. jun.; Silverberg, A. 3 2017 Commensurability of automorphism groups. Zbl 1381.11105Bartel, Alex; Lenstra, Hendrik W. Jr. 1 2017 Profinite number theory. Zbl 1357.11117Lenstra, Hendrik 2 2016 Determining cyclicity of finite modules. Zbl 1348.13027Lenstra, H. W.; Silverberg, A. 2 2016 Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric 16 2015 Character sums for primitive root densities. Zbl 1353.11104Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P. 14 2014 Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070Lenstra, H. W.; Silverberg, A. 9 2014 Handbook of finite fields. Zbl 1319.11001 150 2013 The history of the LLL-algorithm. In collaboration with Arjen Lenstra, Hendrik Lenstra, László Lovász, and Peter van Emde Boas. Zbl 1230.11002Smeets, Ionica; Lenstra, Arjen; Lenstra, Hendrik; Lovász, László; Van Emde Boas, Peter 4 2010 Irreducible cubics modulo five. Zbl 1226.11128Lenstra, Hendrik 1 2010 Ode to the number 43. Zbl 1263.00002Lenstra, Hendrik 1 2009 Lattices. Zbl 1200.11046Lenstra, Hendrik W. jun. 6 2008 Solving the Pell equation. Zbl 1178.11077Lenstra, Hendrik W. jun. 3 2008 Detecting perfect powers by factoring into coprimes. Zbl 1110.11038Bernstein, 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 2 2007 Profinite Fibonacci numbers. Zbl 1138.11307Lenstra, Hendrik 4 2005 Artful mathematics: the heritage of M. C. Escher. Zbl 1159.01353de Smit, B.; Lenstra, H. W. jun.; Dunham, Douglas; Sarhangi, Reza 1 2003 Solving the Pell equation. Zbl 1126.11312Lenstra, H. W. jun 21 2002 A hyperelliptic smoothness test. II. Zbl 0983.11072Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl 7 2002 Primality testing with Gaussian periods. Zbl 1027.68984Lenstra, H. W. jun. 6 2002 On a problem of Garcia, Stichtenoth, and Thomas. Zbl 1041.11046Lenstra, H. W. jun. 5 2002 Factoring polynomials over special finite fields. Zbl 0985.11060Bach, Eric; von zur Gathen, Joachim; Lenstra, Hendrik W. jun. 4 2001 Flags and lattice basis reduction. Zbl 1101.11053Lenstra, Hendrik W. jun. 4 2001 Linearly equivalent actions of solvable groups. Zbl 0958.20011de Smit, B.; Lenstra, H. W. jun. 5 2000 Artin reciprocity and Mersenne primes. Zbl 1011.11006Lenstra, H. W. jun.; Stevenhagen, P. 2 2000 Finding small degree factors of lacunary polynomials. Zbl 0949.11053Lenstra, H. W. jun. 13 1999 On the factorization of lacunary polynomials. Zbl 0943.11047Lenstra, H. W. jun. 8 1999 Explicit construction of universal deformation rings. Zbl 0907.13010De Smit, Bart; Lenstra, Hendrik W. jun. 32 1997 Finite complete intersection algebras and the completeness radical. Zbl 0906.13001de Smit, B.; Lenstra, H. W. jun. 2 1997 Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012Lenstra, H. W. jun.; Stevenhagen, P. 2 1997 Chebotarëv and his density theorem. Zbl 0885.11005Stevenhagen, P.; Lenstra, H. W. jun. 65 1996 Complex multiplication structure of elliptic curves. Zbl 1044.11590Lenstra, H. W. jun. 18 1996 A family of exceptional polynomials in characteristic three. Zbl 0871.11087Lenstra, H. W. jun.; Zieve, M. 10 1996 Abelian subvarieties. Zbl 0861.14037Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G. 5 1996 Complete systems of two addition laws for elliptic curves. Zbl 0841.14027Bosma, W.; Lenstra, H. W. jun. 8 1995 Complete intersections and Gorenstein rings. Zbl 0860.13012Lenstra, H. W. jun. 7 1995 Approximating rings of integers in number fields. Zbl 0828.11075Buchmann, J. A.; Lenstra, H. W. jun. 26 1994 Sharp characters with only one rational value. Zbl 0809.20002Alvis, Dean; Kiyota, Masao; Lenstra, Hendrik W. jun.; Nozawa, Sôhei 1 1994 The development of the number field sieve. Zbl 0777.00017 49 1993 Factoring integers with the number field sieve. Zbl 0806.11067Buhler, J. P.; Lenstra, H. W. jun.; Pomerance, Carl 36 1993 The number field sieve. Zbl 0806.11065Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 25 1993 The factorization of the ninth Fermat number. Zbl 0792.11055Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 17 1993 A hyperelliptic smoothness test. I. Zbl 0808.11073Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl 9 1993 The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022Lenstra, Hendrik jun.; Zarhin, Yuri G. 7 1993 Continued fractions and linear recurrences. Zbl 0797.11006Lenstra, H. W.; Shallit, J. O. 4 1993 The number field sieve: An annotated bibliography. Zbl 0806.11063Lenstra, H. W. jun. 4 1993 Algorithms in algebraic number theory. Zbl 0759.11046Lenstra, H. W. jun. 45 1992 Optimal normal bases. Zbl 0770.11055Gao, Shuhong; Lenstra, Hendrik W. jun. 25 1992 A rigorous time bound for factoring integers. Zbl 0770.11057Lenstra, H. W. jun.; Pomerance, Carl 21 1992 On the inverse Fermat equation. Zbl 0766.11018Lenstra, H. W. jun. 1 1992 Finding isomorphisms between finite fields. Zbl 0709.11072Lenstra, H. W. jun. 33 1991 Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A. 17 1991 On the Chor-Rivest knapsack cryptosystem. Zbl 0725.94003Lenstra, H. W. jun. 8 1991 Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056Lenstra, H. W. jun.; Stevenhagen, P. 4 1991 Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice. Zbl 0723.11029Lagarias, J. C.; Lenstra, H. W. jun.; Schnorr, C. P. 53 1990 Forms in odd degree extensions and self-dual normal bases. Zbl 0729.12006Bayer-Fluckiger, E.; Lenstra, H. W. jun. 52 1990 Algorithms in number theory. Zbl 0900.68250Lenstra, A. K.; Lenstra, H. W. jun. 25 1990 Groups with finitely many non-normal subgroups. Zbl 0668.20029Hekster, N. S.; Lenstra, H. W. jun. 2 1990 Automorphisms of finite fields. Zbl 0695.12012Lenstra, H. W. jun. 2 1990 Subgroups close to normal subgroups. Zbl 0641.20023Bergman, George M.; Lenstra, Hendrik W. jun. 27 1989 Factoring integers with elliptic curves. Zbl 0629.10006Lenstra, H. W. jun. 171 1987 Primitive normal bases for finite fields. Zbl 0615.12023Lenstra, H. W. jun.; Schoof, R. J. 60 1987 Elliptic curves and number-theoretic algorithms. Zbl 0686.14039Lenstra, H. W. jun. 4 1987 Primality testing and Jacobi sums. Zbl 0647.10009Cohen, H.; Lenstra, H. W. jun. 2 1987 Factoring integers with elliptic curves. Zbl 0596.10007Lenstra, H. W. jun. 5 1986 Codes from algebraic number fields. Zbl 0617.94010Lenstra, H. W. jun. 1 1986 Euclid’s algorithm in large Dedekind domains. Zbl 0687.13012Lenstra, H. W. jun. 1 1986 Abelian varieties having purely additive reduction. Zbl 0557.14022Lenstra, H. W. jun.; Oort, F. 14 1985 Galois theory and primality testing. Zbl 0571.10005Lenstra, H. W. jun. 11 1985 A normal basis theorem for infinite Galois extensions. Zbl 0569.12013Lenstra, H. W. jun. 5 1985 Heuristics on class groups of number fields. Zbl 0558.12002Cohen, H.; Lenstra, H. W. jun. 45 1984 A Monte Carlo factoring algorithm with linear storage. Zbl 0559.10004Schnorr, C. P.; Lenstra, H. W. jun. 19 1984 Primality testing and Jacobi sums. Zbl 0578.10004Cohen, H.; Lenstra, H. W. jun. 17 1984 Divisors in residue classes. Zbl 0531.10002Lenstra, H. W. jun. 8 1984 Heuristics on class groups. Zbl 0532.12008Cohen, H.; Lenstra, H. W. jun. 5 1984 Integer programming and cryptography. Zbl 0548.90050Lenstra, H. W. jun. 1 1984 Integer programming with a fixed number of variables. Zbl 0524.90067Lenstra, H. W. jun. 305 1983 Factoring polynomials with rational coefficients. Zbl 0488.12001Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 607 1982 Factoring polynomials with rational coefficients. Zbl 0477.68043Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 8 1982 On the calculation of regulators and class numbers of quadratic fields. Zbl 0487.12003Lenstra, H. W. jun. 5 1982 Primality testing. Zbl 0507.10003Lenstra, H. W. jun. 4 1982 Computational methods in number theory. Part I, II. Zbl 0497.00005 3 1982 On a question of Colliot-Thelene. Zbl 0523.12014Lenstra, H. W. jun. 1 1982 Grothendieck groups of Abelian group rings. Zbl 0467.16016Lenstra, H. W. jun. 23 1981 Primality testing algorithms (after Adleman, Rumely and Williams). Zbl 0476.10005Lenstra, H. W. jun. 2 1981 Rational functions invariant under a cyclic group. Zbl 0453.12008Lenstra, H. W. jun. 2 1980 Primality testing. Zbl 0459.10007Lenstra, H. W. jun. 2 1980 Miller’s primality test. Zbl 0399.10006Lenstra, H. W. jun. 14 1979 Euclidean ideal classes. Zbl 0401.12005Lenstra, H. W. jun. 11 1979 Vanishing sums of roots of unity. Zbl 0411.12003Lenstra, H. W. jun. 7 1979 Euclidean number fields. I. II. III. Zbl 0433.12004Lenstra, Hendrik W. jun. 6 1979 Quelques exemples d’anneaux euclidiens. Zbl 0381.12005Lenstra, Hendrik W. jun. 3 1978 Nim multiplication. Zbl 0395.90119Lenstra, H. W. jun. 2 1978 On Artin’s conjecture and Euclid’s algorithm in global fields. Zbl 0362.12012Lenstra, H. W. jun. 59 1977 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,648 Authors 27 Shparlinski, Igor E. 20 Lenstra, Hendrik W. jun. 16 Bleher, Frauke M. 15 Moree, Pieter 14 Niedermeier, Rolf 13 Buchmann, Johannes A. 13 Sarkar, Santanu 12 Hoshi, Akinari 12 Kang, Ming-Chang 12 Knop, Dušan 12 Weismantel, Robert 11 Silverberg, Alice 10 Beneish, Esther 10 Kunihiro, Noboru 9 Chinburg, Ted 9 Klüners, Jürgen 9 Koutecký, Martin 9 Peng, Liqiang 9 Schnorr, Claus Peter 9 Takayasu, Atsushi 8 Bach, Eric 8 Bayer-Fluckiger, Eva 8 Bernstein, Daniel Julius 8 Bredereck, Robert 8 Gao, Shuhong 8 Lenstra, Arjen K. 8 Nitaj, Abderrahmane 8 Pohst, Michael E. 8 Reis, Lucas 8 Saltman, David J. 8 von zur Gathen, Joachim 8 Williams, Hugh Cowie 8 Woeginger, Gerhard Johannes 8 Yasuda, Masaya 8 Zarkhin, Yuriĭ Gennad’evich 7 Cai, Jin-Yi 7 Futa, Yuichi 7 Hu, Lei 7 Lercier, Reynald 7 Lu, Yao 7 Nichterlein, André 7 Panario, Daniel 7 Pomerance, Carl Bernard 7 Rojas, J. Maurice 7 Shidama, Yasunari 7 Sutherland, Andrew V. 7 van Hoeij, Mark 7 Wagner, Frank Olaf 7 Webb, David L. 7 Yamasaki, Aiichi 6 Cheon, Jung Hee 6 Cook, William John 6 De Loera, Jesús A. 6 Eisenbrand, Friedrich 6 Fan, Shuqin 6 Ganian, Robert 6 Gutierrez, Jaime 6 Kapetanakis, Giorgos 6 Kleinjung, Thorsten 6 Lagarias, Jeffrey C. 6 Naccache, David 6 Oertel, Timm 6 Pak, Igor 6 Parimala, Raman 6 Smart, Nigel P. 6 Stevenhagen, Peter 5 Barbulescu, Razvan 5 Belabas, Karim 5 Brent, Richard Peirce 5 Cheng, Qi 5 Clark, Peter Louis 5 Cohen, Stephen D. 5 Cornuéjols, Gérard P. 5 de Weger, Benjamin M. M. 5 Epstein, Leah 5 Feng, Keqin 5 Gaál, István 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 Kaplan, Nathan 5 Khadir, Omar 5 Koblitz, Neal I. 5 Kratsch, Stefan 5 Lange, Tanja 5 Lee, Hyangsook 5 Levin, Asaf 5 Liao, Qunying 5 Maitra, Subhamoy 5 Morain, François 5 Mossinghoff, Michael J. 5 Nguyen, Danny 5 Odlyzko, Andrew M. 5 Ordyniak, Sebastian ...and 2,548 more Authors all top 5 Cited in 329 Serials 154 Mathematics of Computation 114 Journal of Number Theory 78 Journal of Algebra 69 Theoretical Computer Science 65 Journal of Symbolic Computation 48 Finite Fields and their Applications 47 Journal de Théorie des Nombres de Bordeaux 43 Designs, Codes and Cryptography 29 Discrete Applied Mathematics 28 Transactions of the American Mathematical Society 27 Algorithmica 24 Experimental Mathematics 23 Journal of Computer and System Sciences 23 Journal of Pure and Applied Algebra 23 Mathematical Programming. 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Mathematics 4 Research in Number Theory 3 American Mathematical Monthly 3 Moscow University Mathematics Bulletin 3 Periodica Mathematica Hungarica ...and 229 more Serials all top 5 Cited in 59 Fields 1,127 Number theory (11-XX) 452 Computer science (68-XX) 323 Information and communication theory, circuits (94-XX) 290 Algebraic geometry (14-XX) 201 Operations research, mathematical programming (90-XX) 198 Field theory and polynomials (12-XX) 152 Group theory and generalizations (20-XX) 120 Combinatorics (05-XX) 119 Commutative algebra (13-XX) 85 Numerical analysis (65-XX) 75 Associative rings and algebras (16-XX) 50 Mathematical logic and foundations (03-XX) 46 Convex and discrete geometry (52-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 42 Quantum theory (81-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Special functions (33-XX) 19 Category theory; homological algebra (18-XX) 18 \(K\)-theory (19-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 15 Topological groups, Lie groups (22-XX) 14 Probability theory and stochastic processes (60-XX) 11 Functions of a complex variable (30-XX) 11 Manifolds and cell complexes (57-XX) 10 History and biography (01-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 General and overarching topics; collections (00-XX) 8 Ordinary differential equations (34-XX) 8 Approximations and expansions (41-XX) 8 Relativity and gravitational theory (83-XX) 7 Functional analysis (46-XX) 7 Geometry (51-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Biology and other natural sciences (92-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Abstract harmonic analysis (43-XX) 6 Algebraic topology (55-XX) 6 Statistics (62-XX) 5 Nonassociative rings and algebras (17-XX) 5 Differential geometry (53-XX) 5 Systems theory; control (93-XX) 4 Sequences, series, summability (40-XX) 4 General topology (54-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Partial differential equations (35-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geophysics (86-XX) 1 General algebraic systems (08-XX) 1 Difference and functional equations (39-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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