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: 136 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 2,096 Co-Co-Authors all top 5 Co-Authors 75 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 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 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) 5 Operations research, mathematical programming (90-XX) 4 Combinatorics (05-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 117 Publications have been cited 2,921 times in 2,479 Documents Cited by ▼ Year ▼ Factoring polynomials with rational coefficients. Zbl 0488.12001Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 757 1982 Integer programming with a fixed number of variables. Zbl 0524.90067Lenstra, H. W. jun. 393 1983 Factoring integers with elliptic curves. Zbl 0629.10006Lenstra, H. W. jun. 194 1987 Handbook of finite fields. Zbl 1319.11001 178 2013 Rational functions invariant under a finite Abelian group. Zbl 0292.20010Lenstra, H. W. jun. 91 1974 Chebotarëv and his density theorem. Zbl 0885.11005Stevenhagen, P.; Lenstra, H. W. jun. 78 1996 Primitive normal bases for finite fields. Zbl 0615.12023Lenstra, H. W. jun.; Schoof, R. J. 70 1987 On Artin’s conjecture and Euclid’s algorithm in global fields. Zbl 0362.12012Lenstra, H. W. jun. 68 1977 The development of the number field sieve. Zbl 0777.00017 66 1993 Heuristics on class groups of number fields. Zbl 0558.12002Cohen, H.; Lenstra, H. W. jun. 61 1984 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. 59 1990 Forms in odd degree extensions and self-dual normal bases. Zbl 0729.12006Bayer-Fluckiger, E.; Lenstra, H. W. jun. 59 1990 Algorithms in algebraic number theory. Zbl 0759.11046Lenstra, H. W. jun. 51 1992 Factoring integers with the number field sieve. Zbl 0806.11067Buhler, J. P.; Lenstra, H. W. jun.; Pomerance, Carl 44 1993 Finding isomorphisms between finite fields. Zbl 0709.11072Lenstra, H. W. jun. 35 1991 Explicit construction of universal deformation rings. Zbl 0907.13010De Smit, Bart; Lenstra, Hendrik W. jun. 33 1997 Subgroups close to normal subgroups. Zbl 0641.20023Bergman, George M.; Lenstra, Hendrik W. jun. 31 1989 Approximating rings of integers in number fields. Zbl 0828.11075Buchmann, J. A.; Lenstra, H. W. jun. 31 1994 The number field sieve. Zbl 0806.11065Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 30 1993 Algorithms in number theory. Zbl 0900.68250Lenstra, A. K.; Lenstra, H. W. jun. 27 1990 Optimal normal bases. Zbl 0770.11055Gao, Shuhong; Lenstra, Hendrik W. jun. 26 1992 Euclidean number fields of large degree. Zbl 0328.12007Lenstra, H. W. jun. 26 1977 A rigorous time bound for factoring integers. Zbl 0770.11057Lenstra, H. W. jun.; Pomerance, Carl 25 1992 Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A. 25 1991 Solving the Pell equation. Zbl 1126.11312Lenstra, H. W. jun 24 2002 Grothendieck groups of Abelian group rings. Zbl 0467.16016Lenstra, H. W. jun. 23 1981 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 23 2015 Complex multiplication structure of elliptic curves. Zbl 1044.11590Lenstra, H. W. jun. 21 1996 A Monte Carlo factoring algorithm with linear storage. Zbl 0559.10004Schnorr, C. P.; Lenstra, H. W. jun. 21 1984 Primality testing and Jacobi sums. Zbl 0578.10004Cohen, H.; Lenstra, H. W. jun. 19 1984 Character sums for primitive root densities. Zbl 1353.11104Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P. 19 2014 The factorization of the ninth Fermat number. Zbl 0792.11055Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 17 1993 Miller’s primality test. Zbl 0399.10006Lenstra, H. W. jun. 17 1979 Complete systems of two addition laws for elliptic curves. Zbl 0841.14027Bosma, W.; Lenstra, H. W. jun. 17 1995 Two theorems on perfect codes. Zbl 0248.94017Lenstra, H. W. jun. 17 1972 Finding small degree factors of lacunary polynomials. Zbl 0949.11053Lenstra, H. W. jun. 16 1999 Abelian varieties having purely additive reduction. Zbl 0557.14022Lenstra, H. W. jun.; Oort, F. 15 1985 Factoring polynomials with rational coefficients. Zbl 0477.68043Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 13 1982 A sharpened version of the Aanderaa-Rosenberg conjecture. Zbl 0294.05125Best, M. R.; van Emde Boas, P.; Lenstra, H. W. jun. 12 1974 Euclidean ideal classes. Zbl 0401.12005Lenstra, H. W. jun. 12 1979 Simple abelian varieties having a prescribed formal isogeny type. Zbl 0279.14009Lenstra, Hendrik W. jun.; Oort, Frans 11 1974 Euclid’s algorithm in cyclotomic fields. Zbl 0313.12001Lenstra, H. W. jun. 11 1975 Galois theory and primality testing. Zbl 0571.10005Lenstra, H. W. jun. 11 1985 Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070Lenstra, H. W.; Silverberg, A. 11 2014 A family of exceptional polynomials in characteristic three. Zbl 0871.11087Lenstra, H. W. jun.; Zieve, M. 11 1996 Primality testing with Gaussian periods. Zbl 1429.11221Lenstra, Hendrik W. jun.; Pomerance, Carl B. 11 2019 A hyperelliptic smoothness test. I. Zbl 0808.11073Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl 10 1993 On the factorization of lacunary polynomials. Zbl 0943.11047Lenstra, H. W. jun. 10 1999 On the Chor-Rivest knapsack cryptosystem. Zbl 0725.94003Lenstra, H. W. jun. 10 1991 The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022Lenstra, Hendrik jun.; Zarhin, Yuri G. 9 1993 Lectures on Euclidean rings. Zbl 0344.13005Lenstra, H. W. jun. 9 1974 Complete intersections and Gorenstein rings. Zbl 0860.13012Lenstra, H. W. jun. 9 1995 Divisors in residue classes. Zbl 0531.10002Lenstra, H. W. jun. 9 1984 A hyperelliptic smoothness test. II. Zbl 0983.11072Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl 9 2002 \(K_2\) of a global field consists of symbols. Zbl 0345.13008Lenstra, H. W. 8 1976 Vanishing sums of roots of unity. Zbl 0411.12003Lenstra, H. W. jun. 8 1979 Heuristics on class groups. Zbl 0532.12008Cohen, H.; Lenstra, H. W. jun. 8 1984 Detecting perfect powers by factoring into coprimes. Zbl 1110.11038Bernstein, Daniel J.; Lenstra, Hendrik W. jun.; Pila, Jonathan 7 2007 Lattices. Zbl 1200.11046Lenstra, Hendrik W. jun. 7 2008 Primality testing with Gaussian periods. Zbl 1027.68984Lenstra, H. W. jun. 7 2002 Continued fractions and linear recurrences. Zbl 0797.11006Lenstra, H. W.; Shallit, J. O. 6 1993 On a problem of Garcia, Stichtenoth, and Thomas. Zbl 1041.11046Lenstra, H. W. jun. 6 2002 Euclidean number fields. I. II. III. Zbl 0433.12004Lenstra, Hendrik W. jun. 6 1979 On the calculation of regulators and class numbers of quadratic fields. Zbl 0487.12003Lenstra, H. W. jun. 6 1982 Factoring integers with elliptic curves. Zbl 0596.10007Lenstra, H. W. jun. 5 1986 Factoring polynomials over special finite fields. Zbl 0985.11060Bach, Eric; von zur Gathen, Joachim; Lenstra, Hendrik W. jun. 5 2001 Abelian subvarieties. Zbl 0861.14037Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G. 5 1996 A normal basis theorem for infinite Galois extensions. Zbl 0569.12013Lenstra, H. W. jun. 5 1985 Elliptic curves and number-theoretic algorithms. Zbl 0686.14039Lenstra, H. W. jun. 5 1987 Linearly equivalent actions of solvable groups. Zbl 0958.20011de Smit, B.; Lenstra, H. W. jun. 5 2000 Lattices with symmetry. Zbl 1377.94060Lenstra, H. W. jun.; Silverberg, A. 5 2017 Testing isomorphism of lattices over CM-orders. Zbl 1473.11228Lenstra, Hendrik W. Jr.; Silverberg, Alice 5 2019 The number field sieve: An annotated bibliography. Zbl 0806.11063Lenstra, H. W. jun. 4 1993 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 Solving the Pell equation. Zbl 1178.11077Lenstra, Hendrik W. jun. 4 2008 The acyclic subgraph problem. Zbl 0304.90112Lenstra, H. W. jun. 4 1973 Linear independence of cosecant values. Zbl 0311.10017Jager, H.; Lenstra, H. W. jun. 4 1975 Profinite Fibonacci numbers. Zbl 1138.11307Lenstra, Hendrik 4 2005 Primality testing. Zbl 0507.10003Lenstra, H. W. jun. 4 1982 Profinite number theory. Zbl 1357.11117Lenstra, Hendrik 4 2016 Flags and lattice basis reduction. Zbl 1101.11053Lenstra, Hendrik W. jun. 4 2001 Commensurability of automorphism groups. Zbl 1381.11105Bartel, Alex; Lenstra, Hendrik W. Jr. 4 2017 Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058Lenstra, H. W. jun.; Silverberg, A. 4 2018 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 Computational methods in number theory. Part I, II. Zbl 0497.00005 3 1982 Finite complete intersection algebras and the completeness radical. Zbl 0906.13001de Smit, B.; Lenstra, H. W. jun. 3 1997 Artin reciprocity and Mersenne primes. Zbl 1011.11006Lenstra, H. W. jun.; Stevenhagen, P. 3 2000 Roots of unity in orders. Zbl 1384.16012Lenstra, H. W. jun.; Silverberg, A. 3 2017 On class groups of random number fields. Zbl 1470.11275Bartel, 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 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 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 Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012Lenstra, H. W. jun.; Stevenhagen, P. 2 1997 Artful mathematics: the heritage of M. C. Escher. Zbl 1159.01353de Smit, B.; Lenstra, H. W. jun.; Dunham, Douglas; Sarhangi, Reza 2 2003 On class groups of random number fields. Zbl 1470.11275Bartel, Alex; Lenstra, Hendrik W. 3 2020 Primality testing with Gaussian periods. Zbl 1429.11221Lenstra, Hendrik W. jun.; Pomerance, Carl B. 11 2019 Testing isomorphism of lattices over CM-orders. Zbl 1473.11228Lenstra, Hendrik W. Jr.; Silverberg, Alice 5 2019 Construction of the ring of Witt vectors. Zbl 1431.13025Lenstra, Hendrik W. 1 2019 Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058Lenstra, H. W. jun.; Silverberg, A. 4 2018 Universal gradings of orders. Zbl 1453.13004Lenstra, H. W. jun.; Silverberg, A. 1 2018 Lattices with symmetry. Zbl 1377.94060Lenstra, H. W. jun.; Silverberg, A. 5 2017 Commensurability of automorphism groups. Zbl 1381.11105Bartel, Alex; Lenstra, Hendrik W. Jr. 4 2017 Roots of unity in orders. Zbl 1384.16012Lenstra, H. W. jun.; Silverberg, A. 3 2017 Profinite number theory. Zbl 1357.11117Lenstra, Hendrik 4 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 23 2015 Character sums for primitive root densities. Zbl 1353.11104Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P. 19 2014 Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070Lenstra, H. W.; Silverberg, A. 11 2014 Handbook of finite fields. Zbl 1319.11001 178 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. 7 2008 Solving the Pell equation. Zbl 1178.11077Lenstra, Hendrik W. jun. 4 2008 Detecting perfect powers by factoring into coprimes. Zbl 1110.11038Bernstein, 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 1286.11022Lenstra, Hendrik W. 1 2006 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 2 2003 Solving the Pell equation. Zbl 1126.11312Lenstra, H. W. jun 24 2002 A hyperelliptic smoothness test. II. Zbl 0983.11072Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl 9 2002 Primality testing with Gaussian periods. Zbl 1027.68984Lenstra, H. W. jun. 7 2002 On a problem of Garcia, Stichtenoth, and Thomas. Zbl 1041.11046Lenstra, H. W. jun. 6 2002 Factoring polynomials over special finite fields. Zbl 0985.11060Bach, Eric; von zur Gathen, Joachim; Lenstra, Hendrik W. jun. 5 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. 3 2000 Finding small degree factors of lacunary polynomials. Zbl 0949.11053Lenstra, H. W. jun. 16 1999 On the factorization of lacunary polynomials. Zbl 0943.11047Lenstra, H. W. jun. 10 1999 Explicit construction of universal deformation rings. Zbl 0907.13010De Smit, Bart; Lenstra, Hendrik W. jun. 33 1997 Finite complete intersection algebras and the completeness radical. Zbl 0906.13001de Smit, B.; Lenstra, H. W. jun. 3 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. 78 1996 Complex multiplication structure of elliptic curves. Zbl 1044.11590Lenstra, H. W. jun. 21 1996 A family of exceptional polynomials in characteristic three. Zbl 0871.11087Lenstra, H. W. jun.; Zieve, M. 11 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. 17 1995 Complete intersections and Gorenstein rings. Zbl 0860.13012Lenstra, H. W. jun. 9 1995 Addendum to: The factorization of the ninth Fermat number. Zbl 0827.11077Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 1 1995 Computing Jacobi symbols in algebraic number fields. Zbl 0858.11066Lenstra, H. W. jun. 1 1995 Approximating rings of integers in number fields. Zbl 0828.11075Buchmann, J. A.; Lenstra, H. W. jun. 31 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 66 1993 Factoring integers with the number field sieve. Zbl 0806.11067Buhler, J. P.; Lenstra, H. W. jun.; Pomerance, Carl 44 1993 The number field sieve. Zbl 0806.11065Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 30 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 10 1993 The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022Lenstra, Hendrik jun.; Zarhin, Yuri G. 9 1993 Continued fractions and linear recurrences. Zbl 0797.11006Lenstra, H. W.; Shallit, J. O. 6 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. 51 1992 Optimal normal bases. Zbl 0770.11055Gao, Shuhong; Lenstra, Hendrik W. jun. 26 1992 A rigorous time bound for factoring integers. Zbl 0770.11057Lenstra, H. W. jun.; Pomerance, Carl 25 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. 35 1991 Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A. 25 1991 On the Chor-Rivest knapsack cryptosystem. Zbl 0725.94003Lenstra, H. W. jun. 10 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. 59 1990 Forms in odd degree extensions and self-dual normal bases. Zbl 0729.12006Bayer-Fluckiger, E.; Lenstra, H. W. jun. 59 1990 Algorithms in number theory. Zbl 0900.68250Lenstra, A. K.; Lenstra, H. W. jun. 27 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 Algorithms for finite fields. Zbl 0703.11076Lenstra, H. W. jun. 1 1990 Subgroups close to normal subgroups. Zbl 0641.20023Bergman, George M.; Lenstra, Hendrik W. jun. 31 1989 Factoring integers with elliptic curves. Zbl 0629.10006Lenstra, H. W. jun. 194 1987 Primitive normal bases for finite fields. Zbl 0615.12023Lenstra, H. W. jun.; Schoof, R. J. 70 1987 Elliptic curves and number-theoretic algorithms. Zbl 0686.14039Lenstra, H. W. jun. 5 1987 Primality testing and Jacobi sums. Zbl 0647.10009Cohen, H.; Lenstra, H. W. jun. 1 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. 15 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. 61 1984 A Monte Carlo factoring algorithm with linear storage. Zbl 0559.10004Schnorr, C. P.; Lenstra, H. W. jun. 21 1984 Primality testing and Jacobi sums. Zbl 0578.10004Cohen, H.; Lenstra, H. W. jun. 19 1984 Divisors in residue classes. Zbl 0531.10002Lenstra, H. W. jun. 9 1984 Heuristics on class groups. Zbl 0532.12008Cohen, H.; Lenstra, H. W. jun. 8 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. 393 1983 Factoring polynomials with rational coefficients. Zbl 0488.12001Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 757 1982 Factoring polynomials with rational coefficients. Zbl 0477.68043Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 13 1982 On the calculation of regulators and class numbers of quadratic fields. Zbl 0487.12003Lenstra, H. W. jun. 6 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. 17 1979 Euclidean ideal classes. Zbl 0401.12005Lenstra, H. W. jun. 12 1979 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,176 Authors 28 Shparlinski, Igor E. 21 Lenstra, Hendrik W. jun. 18 Nitaj, Abderrahmane 17 Niedermeier, Rolf 16 Bleher, Frauke M. 16 Moree, Pieter 16 Sarkar, Santanu 15 Knop, Dušan 14 Weismantel, Robert 13 Buchmann, Johannes A. 13 Hoshi, Akinari 13 Kang, Ming-Chang 13 Koutecký, Martin 12 Yasuda, Masaya 11 Bernstein, Daniel Julius 11 Hu, Lei 11 Silverberg, Alice 10 Beneish, Esther 10 Bredereck, Robert 10 Klüners, Jürgen 10 Kunihiro, Noboru 10 Lenstra, Arjen K. 10 Levin, Asaf 10 Stehlé, Damien 9 Cai, Jin-Yi 9 Chinburg, Ted 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 Takayasu, Atsushi 9 Xu, Jun 9 Zarkhin, Yuriĭ Gennad’evich 8 Bach, Eric 8 Bayer-Fluckiger, Eva 8 Joux, Antoine 8 Lange, Tanja 8 Lercier, Reynald 8 Nichterlein, André 8 Ordyniak, Sebastian 8 Pohst, Michael E. 8 Saltman, David J. 8 Sutherland, Andrew V. 8 von zur Gathen, Joachim 8 Woeginger, Gerhard 8 Yamasaki, Aiichi 7 Ducas, Léo 7 Fan, Shuqin 7 Futa, Yuichi 7 Gutierrez, Jaime 7 Jansen, Klaus 7 Kleinjung, Thorsten 7 Lu, Yao 7 Morain, François 7 Mossinghoff, Michael J. 7 Naccache, David 7 Nguyen, Phong Q. 7 Pan, Yanbin 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 Voight, John Michael 7 Wagner, Frank Olaf 7 Webb, David L. 7 Williams, Hugh Cowie 6 Aggarwal, Divesh 6 Belabas, Karim 6 Biasse, Jean-François 6 Castryck, Wouter 6 Cheng, Qi 6 Cheon, Jung Hee 6 Cohen, Stephen D. 6 Cook, William John 6 Dadush, Daniel 6 De Loera, Jesús A. 6 Faliszewski, Piotr 6 Fouque, Pierre-Alain 6 Gaál, István 6 Hauenstein, Jonathan D. 6 Heninger, Nadia 6 Joye, Marc 6 Kapetanakis, Giorgos 6 Kaplan, Nathan 6 Kratsch, Stefan 6 Lagarias, Jeffrey C. 6 Lee, Hyangsook 6 Maity, Soumen 6 Oertel, Timm 6 Onn, Shmuel 6 Otachi, Yota ...and 3,076 more Authors all top 5 Cited in 360 Serials 156 Mathematics of Computation 126 Journal of Number Theory 81 Journal of Algebra 74 Theoretical Computer Science 67 Journal of Symbolic Computation 55 Finite Fields and their Applications 49 Designs, Codes and Cryptography 48 Journal de Théorie des Nombres de Bordeaux 32 Discrete Applied Mathematics 29 Transactions of the American Mathematical Society 29 Algorithmica 27 Journal of Computer and System Sciences 25 Journal of Pure and Applied Algebra 25 Mathematical Programming. 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Second Series 5 Mathematical Notes 5 Rocky Mountain Journal of Mathematics 5 Bulletin of the London Mathematical Society 5 Journal für die Reine und Angewandte Mathematik 5 Mathematics of Operations Research 5 European Journal of Combinatorics 5 Journal of the American Mathematical Society 5 Journal of the Ramanujan Mathematical Society 5 RAIRO. Informatique Théorique et Applications 5 Journal of Algebraic Combinatorics 5 Foundations of Computational Mathematics 5 Research in the Mathematical Sciences 5 SIAM Journal on Applied Algebra and Geometry 4 Periodica Mathematica Hungarica 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Commentarii Mathematici Helvetici 4 Mathematical Programming 4 Michigan Mathematical Journal 4 Advances in Applied Mathematics 4 Annals of Pure and Applied Logic 4 \(K\)-Theory 4 International Journal of Algebra and Computation 4 Documenta Mathematica ...and 260 more Serials all top 5 Cited in 59 Fields 1,310 Number theory (11-XX) 561 Computer science (68-XX) 449 Information and communication theory, circuits (94-XX) 344 Algebraic geometry (14-XX) 249 Operations research, mathematical programming (90-XX) 217 Field theory and polynomials (12-XX) 178 Group theory and generalizations (20-XX) 143 Combinatorics (05-XX) 137 Commutative algebra (13-XX) 89 Numerical analysis (65-XX) 82 Associative rings and algebras (16-XX) 65 Quantum theory (81-XX) 55 Convex and discrete geometry (52-XX) 53 Mathematical logic and foundations (03-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Special functions (33-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 21 Category theory; homological algebra (18-XX) 20 Dynamical systems and ergodic theory (37-XX) 19 \(K\)-theory (19-XX) 18 Topological groups, Lie groups (22-XX) 18 Probability theory and stochastic processes (60-XX) 13 Manifolds and cell complexes (57-XX) 12 General and overarching topics; collections (00-XX) 12 History and biography (01-XX) 12 Functions of a complex variable (30-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Statistics (62-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Ordinary differential equations (34-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Approximations and expansions (41-XX) 8 Functional analysis (46-XX) 8 Geometry (51-XX) 8 Algebraic topology (55-XX) 8 Relativity and gravitational theory (83-XX) 8 Biology and other natural sciences (92-XX) 7 Nonassociative rings and algebras (17-XX) 7 Abstract harmonic analysis (43-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Systems theory; control (93-XX) 6 General topology (54-XX) 5 Differential geometry (53-XX) 4 Measure and integration (28-XX) 4 Partial differential equations (35-XX) 4 Sequences, series, summability (40-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 3 Fluid mechanics (76-XX) 2 Potential theory (31-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 Calculus of variations and optimal control; optimization (49-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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