Edit Profile Lenstra, Hendrik W. jun. Compute Distance To: Compute Author ID: lenstra.hendrik-w-jun Published as: Lenstra, H. W.; Lenstra, H. W. jun; Lenstra, H. W. jun.; Lenstra, Hendrik; Lenstra, Hendrik W.; Lenstra, Hendrik W. Jr.; Lenstra, Hendrik W. jun.; Lenstra, Hendrik jun. Homepage: http://www.math.leidenuniv.nl/~hwl/ External Links: MGP · Wikidata · dblp · GND Documents Indexed: 141 Publications since 1968, including 9 Books Biographic References: 1 Publication all top 5 Co-Authors 74 single-authored 8 Lenstra, Arjen K. 7 Silverberg, Alice 7 Stevenhagen, Peter 6 Cohen, Henri 5 Pomerance, Carl Bernard 4 de Smit, Bart 4 Pila, Jonathan 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 Schnorr, Claus Peter 2 van Emde Boas, Peter 2 Zarkhin, Yuriĭ Gennad’evich 1 Aarts, Johannes Michael 1 Alvis, Dean L. 1 Bach, Eric 1 Bayer-Fluckiger, Eva 1 Bergman, George M. 1 Bernstein, Daniel Julius 1 Best, Mark R. 1 Beukers, Frits 1 Bhargava, Manjul 1 Bosma, Wieb 1 Boston, Nigel 1 Buchmann, Johannes A. 1 Buhler, Joe P. 1 Dunham, Douglas 1 Finkelnberg, Hans 1 Gao, Shuhong 1 Hekster, Nico S. 1 Hogendijk, Jan Pieter 1 Jäger, Harald 1 Kane, Daniel M. 1 Kiyota, Masao 1 Kuyk, Willem 1 Lagarias, Jeffrey C. 1 Moree, Pieter 1 Nozawa, Sôhei 1 Poonen, Bjorn 1 Rains, Eric M. 1 Ribet, Kenneth Alan 1 Sarhangi, Reza 1 Schoof, René 1 Shallit, Jeffrey O. 1 Smeets, Ionica 1 Tijdeman, Robert 1 Top, Jaap 1 Van de Craats, Jan 1 von zur Gathen, Joachim 1 Zieve, Michael E. all top 5 Serials 9 Mathematics of Computation 4 Journal of Algebra 4 Nieuw Archief voor Wiskunde. Vierde Serie 4 Nieuw Archief voor Wiskunde. Vijfde Serie 4 Oberwolfach Reports 3 The Mathematical Intelligencer 3 Archiv der Mathematik 3 Inventiones Mathematicae 3 Journal of Number Theory 3 Journal of Pure and Applied Algebra 3 European Mathematical Society Newsletter 2 Discrete Mathematics 2 Kiberneticheskiĭ Sbornik. Novaya Seriya 2 Mathematische Annalen 2 Proceedings of the London Mathematical Society. Third Series 2 Journal of Cryptology 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Finite Fields and their Applications 2 Foundations of Computational Mathematics 2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 American Mathematical Monthly 1 Communications in Algebra 1 Information Processing Letters 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Arithmetica 1 American Journal of Mathematics 1 Compositio Mathematica 1 Indagationes Mathematicae 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the London Mathematical Society. Second Series 1 Mathematics of Operations Research 1 SIAM Journal on Computing 1 Combinatorica 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 Designs, Codes and Cryptography 1 L’Enseignement Mathématique. 2e Série 1 Nieuw Archief voor Wiskunde. Derde Serie 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Philosophical Transactions of the Royal Society of London. Series A 1 Journal de Théorie des Nombres de Bordeaux 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes in Mathematics 1 Cambridge Journal of Mathematics 1 European Journal of Mathematics all top 5 Fields 105 Number theory (11-XX) 25 Computer science (68-XX) 21 Commutative algebra (13-XX) 18 Algebraic geometry (14-XX) 12 Field theory and polynomials (12-XX) 11 General and overarching topics; collections (00-XX) 11 Information and communication theory, circuits (94-XX) 10 Group theory and generalizations (20-XX) 8 History and biography (01-XX) 6 Associative rings and algebras (16-XX) 4 Operations research, mathematical programming (90-XX) 3 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 108 Publications have been cited 2,241 times in 1,900 Documents Cited by ▼ Year ▼ Factoring polynomials with rational coefficients. Zbl 0488.12001Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 539 1982 Integer programming with a fixed number of variables. Zbl 0524.90067Lenstra, H. W. jun. 271 1983 Factoring integers with elliptic curves. Zbl 0629.10006Lenstra, H. W. jun. 161 1987 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. 55 1996 On Artin’s conjecture and Euclid’s algorithm in global fields. Zbl 0362.12012Lenstra, H. W. jun. 55 1977 Primitive normal bases for finite fields. Zbl 0615.12023Lenstra, H. W. jun.; Schoof, R. J. 52 1987 Forms in odd degree extensions and self-dual normal bases. Zbl 0729.12006Bayer-Fluckiger, E.; Lenstra, H. W. jun. 51 1990 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. 49 1990 Heuristics on class groups of number fields. Zbl 0558.12002Cohen, H.; Lenstra, H. W. jun. 47 1984 The development of the number field sieve. Zbl 0777.00017Lenstra, A. K. (ed.); Lenstra, H. W. jun. (ed.) 46 1993 Algorithms in algebraic number theory. Zbl 0759.11046Lenstra, H. W. jun. 40 1992 Factoring integers with the number field sieve. Zbl 0806.11067Buhler, J. P.; Lenstra, H. W. jun.; Pomerance, Carl 34 1993 Explicit construction of universal deformation rings. Zbl 0907.13010De Smit, Bart; Lenstra, Hendrik W. jun. 31 1997 Finding isomorphisms between finite fields. Zbl 0709.11072Lenstra, H. W. jun. 31 1991 Approximating rings of integers in number fields. Zbl 0828.11075Buchmann, J. A.; Lenstra, H. W. jun. 26 1994 The number field sieve. Zbl 0806.11065Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 26 1993 Subgroups close to normal subgroups. Zbl 0641.20023Bergman, George M.; Lenstra, Hendrik W. jun. 26 1989 Optimal normal bases. Zbl 0770.11055Gao, Shuhong; Lenstra, Hendrik W. jun. 24 1992 Algorithms in number theory. Zbl 0900.68250Lenstra, A. K.; Lenstra, H. W. jun. 24 1990 Grothendieck groups of Abelian group rings. Zbl 0467.16016Lenstra, H. W. jun. 22 1981 Euclidean number fields of large degree. Zbl 0328.12007Lenstra, H. W. jun. 22 1977 Solving the Pell equation. Zbl 1126.11312Lenstra, H. W. jun 19 2002 A rigorous time bound for factoring integers. Zbl 0770.11057Lenstra, H. W. jun.; Pomerance, Carl 19 1992 A Monte Carlo factoring algorithm with linear storage. Zbl 0559.10004Schnorr, C. P.; Lenstra, H. W. jun. 18 1984 Complex multiplication structure of elliptic curves. Zbl 1044.11590Lenstra, H. W. jun. 17 1996 The factorization of the ninth Fermat number. Zbl 0792.11055Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 17 1993 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. 16 1972 Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A. 14 1991 Abelian varieties having purely additive reduction. Zbl 0557.14022Lenstra, H. W. jun.; Oort, F. 14 1985 Finding small degree factors of lacunary polynomials. Zbl 0949.11053Lenstra, H. W. jun. 13 1999 Miller’s primality test. Zbl 0399.10006Lenstra, H. W. jun. 13 1979 Character sums for primitive root densities. Zbl 1353.11104Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P. 12 2014 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 11 2015 A family of exceptional polynomials in characteristic three. Zbl 0871.11087Lenstra, H. W. jun.; Zieve, M. 11 1996 Factoring polynomials with rational coefficients. Zbl 0477.68043Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 11 1982 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 Galois theory and primality testing. Zbl 0571.10005Lenstra, H. W. jun. 10 1985 A hyperelliptic smoothness test. I. Zbl 0808.11073Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl 9 1993 Vanishing sums of roots of unity. Zbl 0411.12003Lenstra, H. W. jun. 9 1979 Euclid’s algorithm in cyclotomic fields. Zbl 0313.12001Lenstra, H. W. jun. 9 1975 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. 8 2014 On the factorization of lacunary polynomials. Zbl 0943.11047Lenstra, H. W. jun. 8 1999 Divisors in residue classes. Zbl 0531.10002Lenstra, H. W. jun. 8 1984 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 systems of two addition laws for elliptic curves. Zbl 0841.14027Bosma, W.; Lenstra, H. W. jun. 7 1995 The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022Lenstra, Hendrik jun.; Zarhin, Yuri G. 7 1993 Heuristics on class groups. Zbl 0532.12008Cohen, H.; Lenstra, H. W. jun. 7 1984 \(K_2\) of a global field consists of symbols. Zbl 0345.13008Lenstra, H. W. 7 1976 Primality testing with Gaussian periods. Zbl 1429.11221Lenstra, Hendrik W. jun.; Pomerance, Carl B. 6 2019 Primality testing with Gaussian periods. Zbl 1027.68984Lenstra, H. W. jun. 6 2002 On the Chor-Rivest knapsack cryptosystem. Zbl 0725.94003Lenstra, H. W. jun. 6 1991 Euclidean number fields. I. II. III. Zbl 0433.12004Lenstra, Hendrik W. jun. 6 1979 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 5 2010 Lattices. Zbl 1200.11046Lenstra, Hendrik W. jun. 5 2008 On a problem of Garcia, Stichtenoth, and Thomas. Zbl 1041.11046Lenstra, H. W. jun. 5 2002 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 Complete intersections and Gorenstein rings. Zbl 0860.13012Lenstra, H. W. jun. 5 1995 Factoring integers with elliptic curves. Zbl 0596.10007Lenstra, H. W. jun. 5 1986 A normal basis theorem for infinite Galois extensions. Zbl 0569.12013Lenstra, H. W. jun. 5 1985 On the calculation of regulators and class numbers of quadratic fields. Zbl 0487.12003Lenstra, H. W. jun. 5 1982 Flags and lattice basis reduction. Zbl 1101.11053Lenstra, Hendrik W. jun. 4 2001 Factoring polynomials over special finite fields. Zbl 0985.11060Bach, Eric; von zur Gathen, Joachim; Lenstra, Hendrik W. jun. 4 2001 The number field sieve: An annotated bibliography. Zbl 0806.11063Lenstra, H. W. jun. 4 1993 Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056Lenstra, H. W. jun.; Stevenhagen, P. 4 1991 Elliptic curves and number-theoretic algorithms. Zbl 0686.14039Lenstra, H. W. jun. 4 1987 Primality testing. Zbl 0507.10003Lenstra, H. W. jun. 4 1982 Primality testing. Zbl 0459.10007Lenstra, H. W. jun. 4 1980 The acyclic subgraph problem. Zbl 0304.90112Lenstra, H. W. jun. 4 1973 Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058Lenstra, H. W. jun.; Silverberg, A. 3 2018 Roots of unity in orders. Zbl 1384.16012Lenstra, H. W. jun.; Silverberg, A. 3 2017 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 3 2007 Profinite Fibonacci numbers. Zbl 1138.11307Lenstra, Hendrik 3 2005 Continued fractions and linear recurrences. Zbl 0797.11006Lenstra, H. W.; Shallit, J. O. 3 1993 Computational methods in number theory. Part I, II. Zbl 0497.00005Lenstra, H. W. jun. (ed.); Tijdeman, R. (ed.) 3 1982 Primality testing algorithms (after Adleman, Rumely and Williams). Zbl 0476.10005Lenstra, H. W. jun. 3 1981 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. 2 2017 Determining cyclicity of finite modules. Zbl 1348.13027Lenstra, H. W.; Silverberg, A. 2 2016 Explicit methods in number theory. Abstracts from the workshop held July 15–21, 2007. Zbl 1177.11004Cohen, Henri (ed.); Lenstra, Hendrik W. jun. (ed.); Zagier, Don (ed.) 2 2007 Artin reciprocity and Mersenne primes. Zbl 1011.11006Lenstra, H. W. jun.; Stevenhagen, P. 2 2000 Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012Lenstra, H. W. jun.; Stevenhagen, P. 2 1997 Finite complete intersection algebras and the completeness radical. Zbl 0906.13001de Smit, B.; Lenstra, H. W. jun. 2 1997 Automorphisms of finite fields. Zbl 0695.12012Lenstra, H. W. jun. 2 1990 Groups with finitely many non-normal subgroups. Zbl 0668.20029Hekster, N. S.; Lenstra, H. W. jun. 2 1990 Integer programming and cryptography. Zbl 0548.90050Lenstra, H. W. jun. 2 1984 Rational functions invariant under a cyclic group. Zbl 0453.12008Lenstra, H. W. jun. 2 1980 Nim multiplication. Zbl 0395.90119Lenstra, H. W. jun. 2 1978 Universal gradings of orders. Zbl 1453.13004Lenstra, H. W. jun.; Silverberg, A. 1 2018 Profinite number theory. Zbl 1357.11117Lenstra, Hendrik 1 2016 Irreducible cubics modulo five. Zbl 1226.11128Lenstra, Hendrik 1 2010 Ode to the number 43. Zbl 1263.00002Lenstra, Hendrik 1 2009 Artful mathematics: the heritage of M. C. Escher. Zbl 1159.01353de Smit, B.; Lenstra, H. W. jun.; Dunham, Douglas; Sarhangi, Reza 1 2003 Primality testing with Gaussian periods. Zbl 1429.11221Lenstra, Hendrik W. jun.; Pomerance, Carl B. 6 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. 2 2017 Determining cyclicity of finite modules. Zbl 1348.13027Lenstra, H. W.; Silverberg, A. 2 2016 Profinite number theory. Zbl 1357.11117Lenstra, Hendrik 1 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 11 2015 Character sums for primitive root densities. Zbl 1353.11104Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P. 12 2014 Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070Lenstra, H. W.; Silverberg, A. 8 2014 The history of the LLL-algorithm. In collaboration with Arjen Lenstra, Hendrik Lenstra, László Lovász, and Peter van Emde Boas. Zbl 1230.11002Smeets, Ionica; Lenstra, Arjen; Lenstra, Hendrik; Lovász, László; Van Emde Boas, Peter 5 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. 5 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 3 2007 Explicit methods in number theory. Abstracts from the workshop held July 15–21, 2007. Zbl 1177.11004Cohen, Henri (ed.); Lenstra, Hendrik W. jun. (ed.); Zagier, Don (ed.) 2 2007 Profinite Fibonacci numbers. Zbl 1138.11307Lenstra, Hendrik 3 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 19 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 Flags and lattice basis reduction. Zbl 1101.11053Lenstra, Hendrik W. jun. 4 2001 Factoring polynomials over special finite fields. Zbl 0985.11060Bach, Eric; von zur Gathen, Joachim; Lenstra, 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. 31 1997 Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012Lenstra, H. W. jun.; Stevenhagen, P. 2 1997 Finite complete intersection algebras and the completeness radical. Zbl 0906.13001de Smit, B.; Lenstra, H. W. jun. 2 1997 Chebotarëv and his density theorem. Zbl 0885.11005Stevenhagen, P.; Lenstra, H. W. jun. 55 1996 Complex multiplication structure of elliptic curves. Zbl 1044.11590Lenstra, H. W. jun. 17 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. 7 1995 Complete intersections and Gorenstein rings. Zbl 0860.13012Lenstra, H. W. jun. 5 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 0777.00017Lenstra, A. K. (ed.); Lenstra, H. W. jun. (ed.) 46 1993 Factoring integers with the number field sieve. Zbl 0806.11067Buhler, J. P.; Lenstra, H. W. jun.; Pomerance, Carl 34 1993 The number field sieve. Zbl 0806.11065Lenstra, A. K.; Lenstra, H. W. jun.; Manasse, M. S.; Pollard, J. M. 26 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 The number field sieve: An annotated bibliography. Zbl 0806.11063Lenstra, H. W. jun. 4 1993 Continued fractions and linear recurrences. Zbl 0797.11006Lenstra, H. W.; Shallit, J. O. 3 1993 Algorithms in algebraic number theory. Zbl 0759.11046Lenstra, H. W. jun. 40 1992 Optimal normal bases. Zbl 0770.11055Gao, Shuhong; Lenstra, Hendrik W. jun. 24 1992 A rigorous time bound for factoring integers. Zbl 0770.11057Lenstra, H. W. jun.; Pomerance, Carl 19 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. 31 1991 Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A. 14 1991 On the Chor-Rivest knapsack cryptosystem. Zbl 0725.94003Lenstra, H. W. jun. 6 1991 Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056Lenstra, H. W. jun.; Stevenhagen, P. 4 1991 Forms in odd degree extensions and self-dual normal bases. Zbl 0729.12006Bayer-Fluckiger, E.; Lenstra, H. W. jun. 51 1990 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. 49 1990 Algorithms in number theory. Zbl 0900.68250Lenstra, A. K.; Lenstra, H. W. jun. 24 1990 Automorphisms of finite fields. Zbl 0695.12012Lenstra, H. W. jun. 2 1990 Groups with finitely many non-normal subgroups. Zbl 0668.20029Hekster, N. S.; Lenstra, H. W. jun. 2 1990 Subgroups close to normal subgroups. Zbl 0641.20023Bergman, George M.; Lenstra, Hendrik W. jun. 26 1989 Factoring integers with elliptic curves. Zbl 0629.10006Lenstra, H. W. jun. 161 1987 Primitive normal bases for finite fields. Zbl 0615.12023Lenstra, H. W. jun.; Schoof, R. J. 52 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. 1 1987 Factoring integers with elliptic curves. Zbl 0596.10007Lenstra, H. W. jun. 5 1986 Euclid’s algorithm in large Dedekind domains. Zbl 0687.13012Lenstra, H. W. jun. 1 1986 Codes from algebraic number fields. Zbl 0617.94010Lenstra, 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. 10 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. 47 1984 A Monte Carlo factoring algorithm with linear storage. Zbl 0559.10004Schnorr, C. P.; Lenstra, H. W. jun. 18 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. 7 1984 Integer programming and cryptography. Zbl 0548.90050Lenstra, H. W. jun. 2 1984 Integer programming with a fixed number of variables. Zbl 0524.90067Lenstra, H. W. jun. 271 1983 Factoring polynomials with rational coefficients. Zbl 0488.12001Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 539 1982 Factoring polynomials with rational coefficients. Zbl 0477.68043Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László 11 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 0497.00005Lenstra, H. W. jun. (ed.); Tijdeman, R. (ed.) 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. 22 1981 Primality testing algorithms (after Adleman, Rumely and Williams). Zbl 0476.10005Lenstra, H. W. jun. 3 1981 Primality testing. Zbl 0459.10007Lenstra, H. W. jun. 4 1980 Rational functions invariant under a cyclic group. Zbl 0453.12008Lenstra, H. W. jun. 2 1980 Miller’s primality test. Zbl 0399.10006Lenstra, H. W. jun. 13 1979 Euclidean ideal classes. Zbl 0401.12005Lenstra, H. W. jun. 11 1979 Vanishing sums of roots of unity. Zbl 0411.12003Lenstra, H. W. jun. 9 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. 55 1977 Euclidean number fields of large degree. Zbl 0328.12007Lenstra, H. W. jun. 22 1977 On the algebraic closure of two. Zbl 0366.04007Lenstra, H. W. jun. 1 1977 \(K_2\) of a global field consists of symbols. Zbl 0345.13008Lenstra, H. W. 7 1976 Euclid’s algorithm in cyclotomic fields. Zbl 0313.12001Lenstra, H. W. jun. 9 1975 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,472 Authors 26 Shparlinski, Igor E. 20 Lenstra, Hendrik W. jun. 16 Bleher, Frauke M. 14 Moree, Pieter 13 Buchmann, Johannes A. 12 Kang, Ming-Chang 12 Niedermeier, Rolf 12 Sarkar, Santanu 12 Weismantel, Robert 11 Hoshi, Akinari 11 Silverberg, Alice 10 Beneish, Esther 9 Chinburg, Ted 9 Klüners, Jürgen 9 Peng, Liqiang 8 Bach, Eric 8 Bayer-Fluckiger, Eva 8 Bernstein, Daniel Julius 8 Gao, Shuhong 8 Knop, Dušan 8 Koutecký, Martin 8 Kunihiro, Noboru 8 Pohst, Michael E. 8 Saltman, David J. 8 Schnorr, Claus Peter 8 Takayasu, Atsushi 8 von zur Gathen, Joachim 8 Williams, Hugh Cowie 8 Woeginger, Gerhard Johannes 8 Zarkhin, Yuriĭ Gennad’evich 7 Cai, Jin-Yi 7 Futa, Yuichi 7 Lenstra, Arjen K. 7 Lercier, Reynald 7 Lu, Yao 7 Nichterlein, André 7 Oertel, Timm 7 Panario, Daniel 7 Rojas, J. Maurice 7 Shidama, Yasunari 7 Sutherland, Andrew V. 7 van Hoeij, Mark 7 Yasuda, Masaya 6 Bredereck, Robert 6 Cook, William John 6 De Loera, Jesús A. 6 Fan, Shuqin 6 Gutierrez, Jaime 6 Hu, Lei 6 Joux, Antoine 6 Lee, Hyangsook 6 Nitaj, Abderrahmane 6 Parimala, Raman 6 Pomerance, Carl Bernard 6 Reis, Lucas 6 Smart, Nigel P. 6 Stevenhagen, Peter 6 Wagner, Frank Olaf 6 Webb, David L. 6 Yamasaki, Aiichi 5 Belabas, Karim 5 Cheon, Jung Hee 5 Clark, Peter Louis 5 Cornuéjols, Gérard P. 5 de Weger, Benjamin M. M. 5 Eisenbrand, Friedrich 5 Feng, Keqin 5 Guralnick, Robert Michael 5 Hachenberger, Dirk 5 Hajja, Mowaffaq 5 Han, Wenbao 5 Hauenstein, Jonathan D. 5 Hemmecke, Raymond 5 Kaltofen, Erich L. 5 Kapetanakis, Giorgos 5 Kaplan, Nathan 5 Khadir, Omar 5 Kleinjung, Thorsten 5 Koblitz, Neal I. 5 Liao, Qunying 5 Maitra, Subhamoy 5 Morain, François 5 Smith, Ethan 5 Sorenson, Jonathan P. 5 Tung, Shih-Ping 5 Wan, Daqing 5 Zhou, Jian 4 Aono, Yoshinori 4 Avendano, Martin 4 Barbulescu, Razvan 4 Bitan, Rony A. 4 Brent, Richard Peirce 4 Bröker, Reinier 4 Chen, Jiehua 4 Cheng, Qi 4 Cohen, Stephen D. 4 Couveignes, Jean-Marc 4 de Smit, Bart 4 Diaz y Diaz, Francisco 4 Epstein, Leah ...and 2,372 more Authors all top 5 Cited in 307 Serials 150 Mathematics of Computation 114 Journal of Number Theory 77 Journal of Algebra 66 Journal of Symbolic Computation 62 Theoretical Computer Science 46 Journal de Théorie des Nombres de Bordeaux 44 Finite Fields and their Applications 42 Designs, Codes and Cryptography 27 Transactions of the American Mathematical Society 26 Discrete Applied Mathematics 26 Algorithmica 23 Experimental Mathematics 22 Journal of Pure and Applied Algebra 21 Journal of Computer and System Sciences 21 Mathematical Programming. Series A. Series B 20 Communications in Algebra 20 Discrete Mathematics 20 Journal of Cryptology 19 Proceedings of the American Mathematical Society 18 Duke Mathematical Journal 18 Mathematische Annalen 18 Operations Research Letters 17 Information Processing Letters 17 Archiv der Mathematik 16 Linear Algebra and its Applications 16 LMS Journal of Computation and Mathematics 15 Information and Computation 14 The Mathematical Intelligencer 14 Advances in Mathematics 13 Israel Journal of Mathematics 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Applicable Algebra in Engineering, Communication and Computing 13 The Ramanujan Journal 13 International Journal of Number Theory 12 Combinatorica 12 Journal of Mathematical Cryptology 11 Annales de l’Institut Fourier 11 Computational Complexity 11 Discrete Optimization 10 Bulletin of the Australian Mathematical Society 10 Compositio Mathematica 10 Manuscripta Mathematica 10 Proceedings of the Japan Academy. 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Commentarii Mathematici 5 Information Sciences 5 Mathematics of Operations Research 5 European Journal of Combinatorics 5 Journal of the American Mathematical Society 5 RAIRO. Informatique Théorique et Applications 5 Journal of Scheduling 5 Journal of Discrete Mathematical Sciences & Cryptography 5 Central European Journal of Mathematics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Journal für die Reine und Angewandte Mathematik 4 Mathematical Programming 4 Michigan Mathematical Journal 4 SIAM Journal on Computing 4 Advances in Applied Mathematics 4 Annals of Pure and Applied Logic 4 \(K\)-Theory 4 Indagationes Mathematicae. New Series 4 Journal of Algebraic Combinatorics 4 Transformation Groups 4 Theory of Computing Systems 4 Journal of the European Mathematical Society (JEMS) 4 Foundations of Computational Mathematics 4 Science China. Mathematics 3 American Mathematical Monthly 3 Artificial Intelligence 3 Moscow University Mathematics Bulletin 3 Periodica Mathematica Hungarica 3 Bulletin of Mathematical Biology 3 Computing 3 Illinois Journal of Mathematics 3 Journal of Combinatorial Theory. Series B 3 Journal of Computational and Applied Mathematics ...and 207 more Serials all top 5 Cited in 57 Fields 1,039 Number theory (11-XX) 403 Computer science (68-XX) 273 Information and communication theory, circuits (94-XX) 270 Algebraic geometry (14-XX) 187 Field theory and polynomials (12-XX) 184 Operations research, mathematical programming (90-XX) 150 Group theory and generalizations (20-XX) 116 Commutative algebra (13-XX) 106 Combinatorics (05-XX) 80 Numerical analysis (65-XX) 74 Associative rings and algebras (16-XX) 46 Mathematical logic and foundations (03-XX) 41 Convex and discrete geometry (52-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 35 Quantum theory (81-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Special functions (33-XX) 18 Category theory; homological algebra (18-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 \(K\)-theory (19-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 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 Approximations and expansions (41-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Ordinary differential equations (34-XX) 6 General and overarching topics; collections (00-XX) 6 Geometry (51-XX) 6 Statistics (62-XX) 6 Biology and other natural sciences (92-XX) 5 Nonassociative rings and algebras (17-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Abstract harmonic analysis (43-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 5 Algebraic topology (55-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Relativity and gravitational theory (83-XX) 4 Sequences, series, summability (40-XX) 4 General topology (54-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geophysics (86-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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