Edit Profile (opens in new tab) Lenstra, Hendrik W. jun. Co-Author Distance 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 more...less Homepage: http://www.math.leidenuniv.nl/~hwl/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 138 Publications since 1968, including 7 Books and 1 Additional arXiv Preprint 6 Contributions as Editor · 3 Further Contributions Biographic References: 1 Publication Co-Authors: 55 Co-Authors with 72 Joint Publications 2,199 Co-Co-Authors 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 all top 5 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 all top 5 Fields 109 Number theory (11-XX) 27 Computer science (68-XX) 22 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) 11 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 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 cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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