Edit Profile (opens in new tab) Odlyzko, Andrew M. Compute Distance To: Compute Author ID: odlyzko.andrew-m Published as: Odlyzko, A. M.; Odlyzko, Andrew M.; Odlyzko, Andrew; Odlyzko, A.; Oldyzko, Andrew M. Homepage: http://www.dtc.umn.edu/~odlyzko/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 159 Publications since 1973 2 Contributions as Editor · 8 Further Contributions Co-Authors: 132 Co-Authors with 123 Joint Publications 5,464 Co-Co-Authors all top 5 Co-Authors 42 single-authored 16 Lagarias, Jeffrey C. 13 Sloane, Neil James Alexander 8 Richmond, L. Bruce 6 MacWilliams, Florence Jessie 6 Shearer, James B. 5 Flajolet, Philippe 5 Guibas, Leonidas John 5 LaMacchia, Brian A. 4 Fishburn, Peter Clingerman 4 Griggs, Jerrold R. 4 Montgomery, Hugh Lowell 4 Richmond, Bruce 4 Wilf, Herbert S. 3 Brouwer, Andries Evert 3 Conway, John Horton 3 Erdős, Pál 2 Bannai, Eiichi 2 Bender, Edward A. 2 Brickell, Ernest F. 2 Chung, Fan 2 Coppersmith, Don 2 Coster, Matthijs J. 2 Desmedt, Yvo G. 2 Frankl, Péter 2 Grigor’ev, Dmitriĭ Yur’evich 2 Hiary, Ghaith Ayesh 2 Hwang, Frank Kwangming 2 Joux, Antoine 2 Kahaner, David K. 2 Karpinski, Marek 2 Leech, John 2 Mallows, Colin Lingwood 2 Norton, Simon Phillips 2 Parker, Richard A. 2 Queen, Larissa 2 Quisquater, Jean-Jacques 2 Rota, Gian-Carlo 2 Schnorr, Claus Peter 2 Shepp, Lawrence Alan 2 Stanley, Richard Peter 2 Venkov, Boris B. 1 Abdel-Ghaffar, Khaled A. S. 1 Adleman, Leonard Max 1 Adler, Stephen L. 1 Ahmadi, Omran 1 Alladi, Krishnaswami 1 Allouche, Jean-Paul Simon 1 Alon, Noga M. 1 Andrews, George Eyre 1 Ball, L. Simeon 1 Bergmann, E. E. 1 Bernstein, Daniel Julius 1 Blache, Régis 1 Blake, Ian F. 1 Bleher, Pavel M. 1 Blokhuis, Aart 1 Bokowski, Jürgen G. 1 Bombieri, Enrico 1 Borcherds, Richard Ewen 1 Branstad, D. K. 1 Brickell, E. E. 1 Brillhart, John 1 Buhler, Joe P. 1 Burris, Stanley N. 1 Butler, Steven Kay 1 Cameron, Peter Jephson 1 Carlet, Claude 1 Carroll, Jeremy J. 1 Castro, Francis Noel 1 Chand Gupta, Kishan 1 Charpin, Pascale 1 Chayes, Jennifer Tour 1 Chen, Robert W. 1 Cioabă, Sebastian M. 1 Coffman, K. G. 1 Cohen, Stephen D. 1 Colbourn, Charles J. 1 Compton, Kevin J. 1 Coron, Jean-Sébastien 1 Coulter, Robert S. 1 Csordas, George 1 Dales, H. Garth 1 de Smit, Bart 1 Delsarte, Philippe 1 Devlin, Keith J. 1 Diaconis, Persi Warren 1 Diffie, Whitfield 1 Ding, Jintai 1 Dinitz, Jeffrey H. 1 Doche, Christophe 1 Doubilet, Peter 1 Du, Ding-Zhu 1 Dumas, Jean-Guillaume 1 Ebert, Gary Lee 1 Effinger, Gove W. 1 Elkies, Noam David 1 Enge, Andreas 1 Evans, Ronald J. 1 Fan, Haining 1 Filaseta, Michael A. ...and 170 more Co-Authors all top 5 Serials 10 Journal of Combinatorial Theory. Series A 6 IEEE Transactions on Information Theory 6 Mathematics of Computation 5 American Mathematical Monthly 5 Discrete Mathematics 5 Inventiones Mathematicae 4 European Journal of Combinatorics 3 Acta Arithmetica 3 Journal of Number Theory 3 Designs, Codes and Cryptography 3 Notices of the American Mathematical Society 2 Bell System Technical Journal 2 The Annals of Probability 2 Canadian Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 SIAM Journal on Computing 2 SIAM Journal on Algebraic and Discrete Methods 2 SIAM Journal on Discrete Mathematics 2 Complex Systems 2 Combinatorics, Probability and Computing 2 The Electronic Journal of Combinatorics 2 Grundlehren der Mathematischen Wissenschaften 1 Communications in Mathematical Physics 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Advances in Mathematics 1 Commentarii Mathematici Universitatis Sancti Pauli 1 The Fibonacci Quarterly 1 Gazette des Mathématiciens 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Algebra 1 Journal of Applied Probability 1 Journal of the Association for Computing Machinery 1 Journal of Combinatorial Theory. Series B 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of the London Mathematical Society. Second Series 1 Kiberneticheskiĭ Sbornik. Novaya Seriya 1 Mathematica Scandinavica 1 Mathematika 1 Monatshefte für Mathematik 1 Networks 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Studia Scientiarum Mathematicarum Hungarica 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Journal of Algorithms 1 Annales Societatis Mathematicae Polonae. Series IV 1 Graphs and Combinatorics 1 Algorithmica 1 AT&T Technical Journal 1 Journal of the Ramanujan Mathematical Society 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 Numerical Algorithms 1 Aequationes Mathematicae 1 L’Enseignement Mathématique. 2e Série 1 Journal of the Australian Mathematical Society. Series A 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Computer Networks and ISDN Systems 1 Proceedings of the IEEE 1 Euromath Bulletin 1 Computational Complexity 1 Experimental Mathematics 1 Economic Theory 1 ETNA. Electronic Transactions on Numerical Analysis 1 European Mathematical Society Newsletter 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 The IMA Volumes in Mathematics and its Applications 1 Lecture Notes in Computer Science 1 Discrete Mathematics and its Applications all top 5 Fields 76 Number theory (11-XX) 54 Combinatorics (05-XX) 38 Information and communication theory, circuits (94-XX) 24 Computer science (68-XX) 16 Probability theory and stochastic processes (60-XX) 10 Functions of a complex variable (30-XX) 8 History and biography (01-XX) 8 Convex and discrete geometry (52-XX) 7 Numerical analysis (65-XX) 6 Field theory and polynomials (12-XX) 6 Group theory and generalizations (20-XX) 5 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral transforms, operational calculus (44-XX) 2 Mathematical logic and foundations (03-XX) 2 Sequences, series, summability (40-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 137 Publications have been cited 3,518 times in 2,167 Documents Cited by ▼ Year ▼ Sphere packings, lattices and groups. With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. 3rd ed. Zbl 0915.52003Conway, J. H.; Sloane, N. J. A. 403 1999 Sphere packings, lattices and groups. With additional contributions by E. Bannai, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. Zbl 0634.52002Conway, J. H.; Sloane, N. J. A. 366 1988 Singularity analysis of generating functions. Zbl 0712.05004Flajolet, Philippe; Odlyzko, Andrew 273 1990 On the foundations of combinatorial theory. VIII: Finite operator calculus. Zbl 0267.05004Rota, Gian-Carlo; Kahaner, D.; Odlyzko, A. 157 1973 Handbook of finite fields. Zbl 1319.11001 150 2013 Effective versions of the Chebotarev density theorem. Zbl 0362.12011Lagarias, J. C.; Odlyzko, A. M. 103 1977 Asymptotic enumeration methods. Zbl 0845.05005Odlyzko, A. M. 101 1995 Algebraic properties of cellular automata. Zbl 0564.68038Martin, Olivier; Odlyzko, Andrew M.; Wolfram, Stephen 101 1984 String overlaps, pattern matching, and nontransitive games. Zbl 0454.68109Guibas, L. J.; Odlyzko, A. M. 84 1981 The average height of binary trees and other simple trees. Zbl 0499.68027Flajolet, Philippe; Odlyzko, Andrew 70 1982 On the distribution of spacings between zeros of the zeta function. Zbl 0615.10049Odlyzko, A. M. 68 1987 Random mapping statistics. Zbl 0747.05006Flajolet, Philippe; Odlyzko, Andrew M. 61 1990 Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions: A survey of recent results. Zbl 0722.11054Odlyzko, A. M. 61 1990 A bound for the least prime ideal in the Chebotarev density theorem. Zbl 0401.12014Lagarias, J. C.; Montgomery, H. L.; Odlyzko, A. M. 57 1979 Periods in strings. Zbl 0464.68070Guibas, Leo J.; Odlyzko, Andrew M. 51 1981 Self-dual codes over GF(4). Zbl 0397.94013MacWilliams, F. J.; Odlyzko, A. M.; Sloane, N. J. A.; Ward, H. N. 48 1978 Solving low-density subset sum problems. Zbl 0632.94007Lagarias, J. C.; Odlyzko, A. M. 48 1985 Disproof of the Mertens conjecture. Zbl 0544.10047Odlyzko, A. M.; te Riele, Herman J. J. 47 1985 New bounds on the number of unit spheres that can touch a unit sphere in n dimensions. Zbl 0408.52007Odlyzko, A. M.; Sloane, N. J. A. 46 1979 Zeros of polynomials with \(0, 1\) coefficients. Zbl 0814.30006Odlyzko, A. M.; Poonen, B. 43 1993 Random shuffles and group representations. Zbl 0564.60007Flatto, L.; Odlyzko, A. M.; Wales, D. B. 42 1985 Discrete logarithms in finite fields and their cryptographic significance. Zbl 0594.94016Odlyzko, A. M. 41 1985 Improved low-density subset sum algorithms. Zbl 0768.11049Coster, Matthijs J.; Joux, Antoine; LaMacchia, Brian A.; Odlyzko, Andrew M.; Schnorr, Claus-Peter; Stern, Jacques 39 1992 Upper bounds for modular forms, lattices, and codes. Zbl 0311.94002Mallows, C. L.; Odlyzko, A. M.; Sloane, N. J. A. 37 1975 Discrete logarithms in \(\mathrm{GF}(p)\). Zbl 0631.12010Coppersmith, Don; Odlyzko, Andrew M.; Schroeppel, Richard 34 1986 Long repetitive patterns in random sequences. Zbl 0424.60036Guibas, L. J.; Odlyzko, A. M. 33 1980 Fast algorithms for multiple evaluations of the Riemann zeta function. Zbl 0706.11047Odlyzko, A. M.; Schönhage, A. 31 1988 Bounds for binary codes of length less than 25. Zbl 0369.94011Best, M. R.; Brouwer, A. E.; MacWilliams, F. Jessie; Odlyzko, Andrew M.; Sloane, Neil J. A. 30 1978 Solving large sparse linear systems over finite fields. Zbl 0786.65028LaMacchia, B. A.; Odlyzko, A. M. 29 1991 Lower bounds for discriminants of number fields. Zbl 0286.12006Odlyzko, A. M. 29 1976 The \(10^{22}\)-nd zero of the Riemann zeta function. Zbl 1022.11042Odlyzko, A. M. 28 2001 Non-negative digit sets in positional number systems. Zbl 0391.10012Odlyzko, A. M. 27 1978 Lattice points in high-dimensional spheres. Zbl 0719.11063Mazo, J. E.; Odlyzko, A. M. 25 1990 Lower bounds for discriminants of number fields. II. Zbl 0362.12005Odlyzko, A. M. 23 1977 Some analytic estimates of class numbers and discriminants. Zbl 0306.12005Odlyzko, Andrew M. 21 1975 Periodic oscillations of coefficients of power series that satisfy functional equations. Zbl 0484.30002Odlyzko, A. M. 20 1982 Thompson’s problem (\(\sigma^2=3\)) With two appendices. I: The numerical verification of Thompson’s identity by Andrew Odlyzko: II: A check of the Ree group conjecture for small fields by David Hunt. Zbl 0442.20016Bombieri, Enrico 19 1980 The rise and fall of knapsack cryptosystems. Zbl 0733.94012Odlyzko, A. M. 18 1990 Maximal prefix-synchronized codes. Zbl 0394.94024Guibas, L. J.; Odlyzko, A. M. 17 1978 Cryptanalysis: A survey of recent results. Zbl 0818.94014Brickell, E. F.; Odlyzko, A. M. 16 1988 The distribution of heights of binary trees and other simple trees. Zbl 0795.05042Flajolet, Philippe; Gao, Zhicheng; Odlyzko, Andrew; Richmond, Bruce 16 1993 On the unimodality of high convolutions of discrete distributions. Zbl 0561.60021Odlyzko, A. M.; Richmond, L. B. 16 1985 Computing \(\pi(x)\): the Meissel-Lehmer method. Zbl 0564.10006Lagarias, J. C.; Miller, V. S.; Odlyzko, A. M. 16 1985 On the unimodality of some partition polynomials. Zbl 0482.10015Odlyzko, A. M.; Richmond, L. B. 16 1982 On the packing densities of superballs and other bodies. Zbl 0736.52008Elkies, N. D.; Odlyzko, A. M.; Rush, J. A. 15 1991 Bounds for eigenvalues of certain stochastic matrices. Zbl 0474.05050Landau, H. J.; Odlyzko, A. M. 15 1981 Computing \(\pi(x)\): an analytic method. Zbl 0622.10027Lagarias, J. C.; Odlyzko, A. M. 15 1987 Contemporary cryptology. The science of information integrity. Zbl 0784.94019 14 1992 On subspaces spanned by random selections of \(\pm 1\) vectors. Zbl 0664.05004Odlyzko, A. M. 14 1988 Constant time generation of free trees. Zbl 0616.68063Wright, Robert Alan; Richmond, Bruce; Odlyzko, Andrew; McKay, Brendan D. 14 1986 Discrete logarithms: The past and the future. Zbl 1033.11057Odlyzko, Andrew 13 2000 Functional iteration and the Josephus problem. Zbl 0751.05007Odlyzko, Andrew M.; Wilf, Herbert S. 13 1991 Finite operator calculus. With the collaboration of P. Doubilet, C. Greene, D. Kahaner, A: Odlyzko and R. Stanley. Zbl 0328.05007Rota, Gian-Carlo 13 1975 On the density of odd integers of the form \((p-1)2^{-n}\) and related questions. Zbl 0405.10036Erdős, Paul; Odlyzko, Andrew M. 12 1979 Probabilistic analysis of optimum partitioning. Zbl 0611.60011Karmarkar, Narendra; Karp, Richard M.; Lueker, George S.; Odlyzko, Andrew M. 12 1986 On longest increasing subsequences in random permutations. Zbl 0966.60010Odlyzko, A. M.; Rains, E. M. 11 2000 Computation of discrete logarithms in prime fields. Zbl 0747.94012LaMacchia, B. A.; Odlyzko, A. M. 11 1991 Asymptotic expansions for the coefficients of analytic generating functions. Zbl 0557.05040Odlyzko, A. M.; Richmond, L. B. 11 1985 On the compositions of an integer. Zbl 0451.05009Odlyzko, A.; Richmond, B. 11 1980 On computing Artin L-functions in the critical strip. Zbl 0409.12017Lagarias, J. C.; Odlyzko, A. M. 11 1979 Some analytic estimates of class numbers and discriminants. Zbl 0299.12010Odlyzko, Andrew M. 11 1975 Balancing sets of vectors. Zbl 0647.94018Alon, N.; Bergmann, E. E.; Coppersmith, D.; Odlyzko, A. M. 11 1988 On an irreducibility theorem of A. Cohn. Zbl 0481.12006Brillhart, John; Filaseta, Michael; Odlyzko, Andrew 10 1981 Unique subjective probability on finite sets. Zbl 0678.60013Fishburn, P. C.; Odlyzko, A. M. 10 1989 A new proof of the linearity of the Boyer-Moore string searching algorithm. Zbl 0446.68050Guibas, Leo J.; Odlyzko, Andrew M. 9 1980 Explicit Tauberian estimates for functions with positive coefficients. Zbl 0763.40006Odlyzko, A. M. 9 1992 An improved bound for the de Bruijn-Newman constant. Zbl 0967.11034Odlyzko, A. M. 9 2000 On the residues of products of prime numbers. Zbl 0625.10035Erdős, Paul; Odlyzko, Andrew M.; Sárközy, A. 9 1987 Gaps between zeros of the zeta function. Zbl 0546.10033Montgomery, H. L.; Odlyzko, A. M. 8 1984 Cryptanalytic attacks on the multiplicative knapsack cryptosystem and on Shamir’s fast signature scheme. Zbl 0548.94020Odlyzko, Andrew M. 8 1984 On conductors and discriminants. Zbl 0362.12006Odlyzko, A. M. 8 1977 Jumping champions. Zbl 0993.11045Odlyzko, Andrew; Rubinstein, Michael; Wolf, Marek 8 1999 Limit distributions for coefficients of iterates of polynomials with applications to combinatorial enumerations. Zbl 0566.30023Flajolet, P.; Odlyzko, A. M. 8 1984 On the ranks of some (0,1)-matrices with constant row sums. Zbl 0467.05016Odlyzko, A. M. 8 1981 A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant \(\Lambda\). Zbl 0807.11059Csordas, G.; Odlyzko, A. M.; Smith, Wayne; Varga, R. S. 8 1993 The editor’s corner: n coins in a fountain. Zbl 0673.05006Odlyzko, Andrew M.; Wilf, Herbert S. 7 1988 On the number of distinct block sizes in partitions of a set. Zbl 0575.05005Odlyzko, A. M.; Richmond, L. B. 7 1985 Probabilities for intersecting systems and random subsets of finite sets. Zbl 0582.60014Fishburn, P. C.; Frankl, P.; Freed, D.; Lagarias, J. C.; Odlyzko, A. M. 7 1986 Differences of the partition function. Zbl 0584.10007Odlyzko, A. M. 7 1988 Minima of cosine sums and maxima of polynomials on the unit circle. Zbl 0476.30005Odlyzko, A. M. 7 1982 The past, evolving present, and future of the discrete logarithm. Zbl 1314.94006Joux, Antoine; Odlyzko, Andrew; Pierrot, Cécile 7 2014 An improved low-density subset sum algorithm. Zbl 0774.11075Coster, M. J.; LaMacchia, B. A.; Odlyzko, A. M.; Schnorr, C. P. 7 1991 Enumeration of power sums modulo a prime. Zbl 0375.10029Odlyzko, Andrew M.; Stanley, Richard P. 6 1978 The asymptotic number of irreducible partitions. Zbl 0569.05005Bender, Edward A.; Odlyzko, Andrew M.; Richmond, L. Bruce 6 1985 On the density of sequences of integers the sum of no two of which is a square. II: General sequences. Zbl 0514.10041Lagarias, J. C.; Odlyzko, A. M.; Shearer, J. B. 6 1983 Two-sided generalized Fibonacci sequences. Zbl 0683.10011Fishburn, Peter C.; Odlyzko, Andrew M.; Roberts, Fred S. 6 1989 Large deviations of sums of independent random variables. Zbl 0641.60032Montgomery, Hugh L.; Odlyzko, Andrew M. 6 1988 The zeta function on the critical line: numerical evidence for moments and random matrix theory models. Zbl 1269.11074Hiary, Ghaith A.; Odlyzko, Andrew M. 5 2012 The asymptotic number of set partitions with unequal block sizes. Zbl 0913.05008Knopfmacher, A.; Odlyzko, A. M.; Pittel, B.; Richmond, L. B.; Stark, D.; Szekeres, George; Wormald, N. C. 5 1999 On the capacity of disjointly shared networks. Zbl 0578.94001Lagarias, J. C.; Odlyzko, A. M.; Zagier, Don B. 5 1985 k-color Sperner theorems. Zbl 0601.05003Griggs, Jerrold R.; Odlyzko, Andrew M.; Shearer, James B. 5 1986 Irreducibility testing and factorization of polynomials. Zbl 0527.12002Adleman, Leonard M.; Odlyzko, Andrew M. 5 1983 Search for the maximum of a random walk. Zbl 0818.60065Odlyzko, A. M. 5 1995 Ramsey-Sperner theory. Zbl 0617.05039Füredi, Zoltán; Griggs, Jerrold R.; Odlyzko, Andrew M.; Shearer, James B. 5 1987 Extremal self-dual lattices exist only in dimension 1-8, 12, 14, 15, 23, and 24. Zbl 0368.10026Conway, J. H.; Odlyzko, A. M.; Sloane, N. J. A. 4 1978 Pebbling a chessboard. Zbl 0844.05032Chung, Fan; Graham, Ron; Morrison, John; Odlyzko, Andrew 4 1995 Fine spectra and limit laws. II: First-order 0-1 laws. Zbl 0886.03028Burris, Stanley; Compton, Kevin; Odlyzko, Andrew; Richmond, Bruce 4 1997 The asymptotic behavior of a family of sequences. Zbl 0558.10010Erdős, Paul; Hildebrand, A.; Odlyzko, Andrew M.; Pudaite, P.; Reznick, B. 4 1987 Enumeration of strings. Zbl 0603.68074Odlyzko, A. M. 4 1985 On the density of sequences of integers the sum of no two of which is a square. I: Arithmetic progressions. Zbl 0489.10052Lagarias, J. C.; Odlyzko, A. M.; Shearer, J. B. 4 1982 Search for ultraflat polynomials with plus and minus one coefficients. Zbl 1400.30005Odlyzko, Andrew 3 2018 The past, evolving present, and future of the discrete logarithm. Zbl 1314.94006Joux, Antoine; Odlyzko, Andrew; Pierrot, Cécile 7 2014 Handbook of finite fields. Zbl 1319.11001 150 2013 The zeta function on the critical line: numerical evidence for moments and random matrix theory models. Zbl 1269.11074Hiary, Ghaith A.; Odlyzko, Andrew M. 5 2012 Numerical study of the derivative of the Riemann zeta function at zeros. Zbl 1318.11106Hiary, Ghaith A.; Odlyzko, Andrew M. 3 2011 Index calculation attacks on RSA signature and encryption. Zbl 1142.94338Coron, Jean-Sébastien; Naccache, David; Desmedt, Yvo; Odlyzko, Andrew; Stern, Julien P. 1 2006 Internet growth: Is there a ”Moore’s law” for data traffic? Zbl 0994.68570Coffman, K. G.; Odlyzko, A. M. 2 2002 The \(10^{22}\)-nd zero of the Riemann zeta function. Zbl 1022.11042Odlyzko, A. M. 28 2001 Discrete logarithms: The past and the future. Zbl 1033.11057Odlyzko, Andrew 13 2000 On longest increasing subsequences in random permutations. Zbl 0966.60010Odlyzko, A. M.; Rains, E. M. 11 2000 An improved bound for the de Bruijn-Newman constant. Zbl 0967.11034Odlyzko, A. M. 9 2000 Sphere packings, lattices and groups. With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. 3rd ed. Zbl 0915.52003Conway, J. H.; Sloane, N. J. A. 403 1999 Jumping champions. Zbl 0993.11045Odlyzko, Andrew; Rubinstein, Michael; Wolf, Marek 8 1999 The asymptotic number of set partitions with unequal block sizes. Zbl 0913.05008Knopfmacher, A.; Odlyzko, A. M.; Pittel, B.; Richmond, L. B.; Stark, D.; Szekeres, George; Wormald, N. C. 5 1999 Competitive pricing of information goods: Subscription pricing versus pay-per-use. Zbl 0917.90041Fishburn, Peter C.; Odlyzko, Andrew M. 2 1999 Emerging applications of number theory. Based on the proceedings of the IMA summer program, Minneapolis, MN, USA, July 15–26, 1996. Zbl 0919.00047 2 1999 Attacks on Shamir’s ‘RSA for paranoids’. Zbl 1339.94044Gilbert, Henri; Gupta, Dipankar; Odlyzko, Andrew; Quisquater, Jean-Jacques 3 1998 An optimal acceptance policy for an urn scheme. Zbl 0912.60060Chen, Robert W.; Zame, Alan; Odlyzko, Andrew M.; Shepp, Larry A. 2 1998 Fine spectra and limit laws. II: First-order 0-1 laws. Zbl 0886.03028Burris, Stanley; Compton, Kevin; Odlyzko, Andrew; Richmond, Bruce 4 1997 Monotonic subsequences in dimensions higher than one. Zbl 0884.05001Odlyzko, A. M.; Shearer, J. B.; Siders, R. 1 1997 A nonlinear equation and its application to nearest neighbor spacings for zeros of the zeta function and eigenvalues of random matrices. Zbl 1053.11532Forrester, P. J.; Odlyzko, A. M. 1 1997 Analytic methods in asymptotic enumeration. Zbl 0852.05011Odlyzko, A. M. 2 1996 Asymptotic enumeration methods. Zbl 0845.05005Odlyzko, A. M. 101 1995 Search for the maximum of a random walk. Zbl 0818.60065Odlyzko, A. M. 5 1995 Pebbling a chessboard. Zbl 0844.05032Chung, Fan; Graham, Ron; Morrison, John; Odlyzko, Andrew 4 1995 Discrete logarithms and smooth polynomials. Zbl 0813.11072Odlyzko, A. M. 4 1994 Analytic computations in number theory. Zbl 0822.11085Odlyzko, Andrew M. 4 1994 Search for the maximum of a random walk. Zbl 1345.05095Odlyzko, Andrew M. 1 1994 Zeros of polynomials with \(0, 1\) coefficients. Zbl 0814.30006Odlyzko, A. M.; Poonen, B. 43 1993 The distribution of heights of binary trees and other simple trees. Zbl 0795.05042Flajolet, Philippe; Gao, Zhicheng; Odlyzko, Andrew; Richmond, Bruce 16 1993 A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant \(\Lambda\). Zbl 0807.11059Csordas, G.; Odlyzko, A. M.; Smith, Wayne; Varga, R. S. 8 1993 Iterated absolute values of differences of consecutive primes. Zbl 0781.11037Odlyzko, Andrew M. 3 1993 Nonexistence of Siegel zeros in towers of radical extensions. Zbl 0797.11090Odlyzko, Andrew M.; Skinner, Chris M. 1 1993 Improved low-density subset sum algorithms. Zbl 0768.11049Coster, Matthijs J.; Joux, Antoine; LaMacchia, Brian A.; Odlyzko, Andrew M.; Schnorr, Claus-Peter; Stern, Jacques 39 1992 Contemporary cryptology. The science of information integrity. Zbl 0784.94019 14 1992 Explicit Tauberian estimates for functions with positive coefficients. Zbl 0763.40006Odlyzko, A. M. 9 1992 Existence of short proofs for nondivisibility of sparse polynomials under the Extended Riemann Hypothesis. Zbl 0963.68508Grigoriev, Dima Yu.; Karpinski, Marek; Odlyzko, Andrew M. 1 1992 Solving large sparse linear systems over finite fields. Zbl 0786.65028LaMacchia, B. A.; Odlyzko, A. M. 29 1991 On the packing densities of superballs and other bodies. Zbl 0736.52008Elkies, N. D.; Odlyzko, A. M.; Rush, J. A. 15 1991 Functional iteration and the Josephus problem. Zbl 0751.05007Odlyzko, Andrew M.; Wilf, Herbert S. 13 1991 Computation of discrete logarithms in prime fields. Zbl 0747.94012LaMacchia, B. A.; Odlyzko, A. M. 11 1991 An improved low-density subset sum algorithm. Zbl 0774.11075Coster, M. J.; LaMacchia, B. A.; Odlyzko, A. M.; Schnorr, C. P. 7 1991 Singularity analysis of generating functions. Zbl 0712.05004Flajolet, Philippe; Odlyzko, Andrew 273 1990 Random mapping statistics. Zbl 0747.05006Flajolet, Philippe; Odlyzko, Andrew M. 61 1990 Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions: A survey of recent results. Zbl 0722.11054Odlyzko, A. M. 61 1990 Lattice points in high-dimensional spheres. Zbl 0719.11063Mazo, J. E.; Odlyzko, A. M. 25 1990 The rise and fall of knapsack cryptosystems. Zbl 0733.94012Odlyzko, A. M. 18 1990 On the number of alignments of k sequences. Zbl 0699.05006Griggs, J. R.; Hanlon, P.; Odlyzko, A. M.; Waterman, M. S. 3 1990 Unique subjective probability on finite sets. Zbl 0678.60013Fishburn, P. C.; Odlyzko, A. M. 10 1989 Two-sided generalized Fibonacci sequences. Zbl 0683.10011Fishburn, Peter C.; Odlyzko, Andrew M.; Roberts, Fred S. 6 1989 Sphere packings, lattices and groups. With additional contributions by E. Bannai, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. Zbl 0634.52002Conway, J. H.; Sloane, N. J. A. 366 1988 Fast algorithms for multiple evaluations of the Riemann zeta function. Zbl 0706.11047Odlyzko, A. M.; Schönhage, A. 31 1988 Cryptanalysis: A survey of recent results. Zbl 0818.94014Brickell, E. F.; Odlyzko, A. M. 16 1988 On subspaces spanned by random selections of \(\pm 1\) vectors. Zbl 0664.05004Odlyzko, A. M. 14 1988 Balancing sets of vectors. Zbl 0647.94018Alon, N.; Bergmann, E. E.; Coppersmith, D.; Odlyzko, A. M. 11 1988 The editor’s corner: n coins in a fountain. Zbl 0673.05006Odlyzko, Andrew M.; Wilf, Herbert S. 7 1988 Differences of the partition function. Zbl 0584.10007Odlyzko, A. M. 7 1988 Large deviations of sums of independent random variables. Zbl 0641.60032Montgomery, Hugh L.; Odlyzko, Andrew M. 6 1988 Decreasing energy functions and lengths of transients for some cellular automata. Zbl 0671.68031Goles, Eric; Odlyzko, Andrew M. 3 1988 On the distribution of spacings between zeros of the zeta function. Zbl 0615.10049Odlyzko, A. M. 68 1987 Computing \(\pi(x)\): an analytic method. Zbl 0622.10027Lagarias, J. C.; Odlyzko, A. M. 15 1987 On the residues of products of prime numbers. Zbl 0625.10035Erdős, Paul; Odlyzko, Andrew M.; Sárközy, A. 9 1987 Ramsey-Sperner theory. Zbl 0617.05039Füredi, Zoltán; Griggs, Jerrold R.; Odlyzko, Andrew M.; Shearer, James B. 5 1987 The asymptotic behavior of a family of sequences. Zbl 0558.10010Erdős, Paul; Hildebrand, A.; Odlyzko, Andrew M.; Pudaite, P.; Reznick, B. 4 1987 Bandwidths and profiles of trees. Zbl 0588.05015Odlyzko, Andrew M.; Wilf, Herbert S. 2 1987 On the periods of some graph transformations. Zbl 0672.05080Odlyzko, Andrew M.; Randall, Dana J. 2 1987 Advances in cryptology - CRYPTO ’86. Proceedings. (A Conference on the Theory and Applications of Cryptographic Techniques held at the University of California, Santa Barbara, August 11-15, 1986). Zbl 0624.00026 1 1987 Discrete logarithms in \(\mathrm{GF}(p)\). Zbl 0631.12010Coppersmith, Don; Odlyzko, Andrew M.; Schroeppel, Richard 34 1986 Constant time generation of free trees. Zbl 0616.68063Wright, Robert Alan; Richmond, Bruce; Odlyzko, Andrew; McKay, Brendan D. 14 1986 Probabilistic analysis of optimum partitioning. Zbl 0611.60011Karmarkar, Narendra; Karp, Richard M.; Lueker, George S.; Odlyzko, Andrew M. 12 1986 Probabilities for intersecting systems and random subsets of finite sets. Zbl 0582.60014Fishburn, P. C.; Frankl, P.; Freed, D.; Lagarias, J. C.; Odlyzko, A. M. 7 1986 k-color Sperner theorems. Zbl 0601.05003Griggs, Jerrold R.; Odlyzko, Andrew M.; Shearer, James B. 5 1986 On the existence of optimum cyclic burst-correcting codes. Zbl 0623.94013Abdel-Ghaffar, Khaled A. S.; McEliece, Robert J.; Odlyzko, Andrew M.; van Tilborg, Henk C. A. 3 1986 Solving low-density subset sum problems. Zbl 0632.94007Lagarias, J. C.; Odlyzko, A. M. 48 1985 Disproof of the Mertens conjecture. Zbl 0544.10047Odlyzko, A. M.; te Riele, Herman J. J. 47 1985 Random shuffles and group representations. Zbl 0564.60007Flatto, L.; Odlyzko, A. M.; Wales, D. B. 42 1985 Discrete logarithms in finite fields and their cryptographic significance. Zbl 0594.94016Odlyzko, A. M. 41 1985 On the unimodality of high convolutions of discrete distributions. Zbl 0561.60021Odlyzko, A. M.; Richmond, L. B. 16 1985 Computing \(\pi(x)\): the Meissel-Lehmer method. Zbl 0564.10006Lagarias, J. C.; Miller, V. S.; Odlyzko, A. M. 16 1985 Asymptotic expansions for the coefficients of analytic generating functions. Zbl 0557.05040Odlyzko, A. M.; Richmond, L. B. 11 1985 On the number of distinct block sizes in partitions of a set. Zbl 0575.05005Odlyzko, A. M.; Richmond, L. B. 7 1985 The asymptotic number of irreducible partitions. Zbl 0569.05005Bender, Edward A.; Odlyzko, Andrew M.; Richmond, L. Bruce 6 1985 On the capacity of disjointly shared networks. Zbl 0578.94001Lagarias, J. C.; Odlyzko, A. M.; Zagier, Don B. 5 1985 Enumeration of strings. Zbl 0603.68074Odlyzko, A. M. 4 1985 Partitions of planar sets into small triangles. Zbl 0591.52004Odlyzko, Andrew M.; Pintz, János; Stolarsky, Kenneth B. 1 1985 Algebraic properties of cellular automata. Zbl 0564.68038Martin, Olivier; Odlyzko, Andrew M.; Wolfram, Stephen 101 1984 Gaps between zeros of the zeta function. Zbl 0546.10033Montgomery, H. L.; Odlyzko, A. M. 8 1984 Cryptanalytic attacks on the multiplicative knapsack cryptosystem and on Shamir’s fast signature scheme. Zbl 0548.94020Odlyzko, Andrew M. 8 1984 Limit distributions for coefficients of iterates of polynomials with applications to combinatorial enumerations. Zbl 0566.30023Flajolet, P.; Odlyzko, A. M. 8 1984 Some new methods and results in tree enumeration. Zbl 0544.05020Odlyzko, A. M. 2 1984 On the density of sequences of integers the sum of no two of which is a square. II: General sequences. Zbl 0514.10041Lagarias, J. C.; Odlyzko, A. M.; Shearer, J. B. 6 1983 Irreducibility testing and factorization of polynomials. Zbl 0527.12002Adleman, Leonard M.; Odlyzko, Andrew M. 5 1983 A differential equation arising in chromatic sum theory. Zbl 0535.05035Odlyzko, A. M.; Richmond, L. B. 4 1983 On subsets with cardinalities of intersections divisible by a fixed integer. Zbl 0524.05002Frankl, P.; Odlyzko, A. M. 3 1983 On the tightest packing of sums of vectors. Zbl 0525.05016Griggs, Jerrold R.; Lagarias, Jeffrey C.; Odlyzko, Andrew M.; Shearer, James B. 3 1983 The average height of binary trees and other simple trees. Zbl 0499.68027Flajolet, Philippe; Odlyzko, Andrew 70 1982 Periodic oscillations of coefficients of power series that satisfy functional equations. Zbl 0484.30002Odlyzko, A. M. 20 1982 On the unimodality of some partition polynomials. Zbl 0482.10015Odlyzko, A. M.; Richmond, L. B. 16 1982 Minima of cosine sums and maxima of polynomials on the unit circle. Zbl 0476.30005Odlyzko, A. M. 7 1982 On the density of sequences of integers the sum of no two of which is a square. I: Arithmetic progressions. Zbl 0489.10052Lagarias, J. C.; Odlyzko, A. M.; Shearer, J. B. 4 1982 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,719 Authors 33 Odlyzko, Andrew M. 30 Flajolet, Philippe 25 Drmota, Michael 24 Prodinger, Helmut 15 Hwang, Hsien-Kuei 15 Sloane, Neil James Alexander 13 Knopfmacher, Arnold 13 Niederhausen, Heinrich 13 Panholzer, Alois 12 Gittenberger, Bernhard 12 Noy, Marc 11 Shparlinski, Igor E. 10 Blanchet-Sadri, Francine 10 Bousquet-Mélou, Mireille 10 Gao, Zhicheng 10 Hiary, Ghaith Ayesh 10 Lagarias, Jeffrey C. 10 Murty, Maruti Ram 10 Panario, Daniel 9 Devroye, Luc P. J. A. 9 Fishburn, Peter Clingerman 8 Giménez, Omer 8 Grabner, Peter J. 8 Kirschenhofer, Peter 8 Lau, Kasing 8 Miller, Steven J. 8 Rota, Gian-Carlo 8 Salvy, Bruno 8 Szpankowski, Wojciech 8 Wagner, Stephan G. 7 Boĭvalenkov, Pet”r Georgiev 7 Conway, John Horton 7 Erdélyi, Tamás 7 Fulman, Jason E. 7 Gardy, Danièle 7 Heuberger, Clemens 7 Kang, Mihyun 7 Kwon, Soun-Hi 7 Luca, Florian 7 Mironkin, Vladimir O. 7 Tao, Terence 7 Zaman, Asif 6 Addario-Berry, Louigi 6 Bach, Eric 6 Bachoc, Christine 6 Barnabei, Marilena 6 Frankl, Péter 6 Fujii, Akio 6 Grenié, Loïc 6 Janson, Svante 6 Joni, S. A. 6 Knessl, Charles 6 Linowitz, Benjamin 6 Loeb, Daniel E. 6 Louchard, Guy 6 Miezaki, Tsuyoshi 6 Molteni, Giuseppe 6 Murty, Vijaya Kumar 6 Mutafchiev, Lyuben R. 6 Pak, Igor 6 Roman, Steven M. 6 Rué, Juanjo 6 Rush, Jason A. 6 Schmutz, Eric 6 Zhao, Yiqiang Q. 5 Aldous, David John 5 Banderier, Cyril 5 Berenhaut, Kenneth S. 5 Borwein, Peter Benjamin 5 Brini, Andrea 5 Broutin, Nicolas 5 Büthe, Jan 5 Chen, Yonggao 5 Deléglise, Marc 5 Di Bucchianico, Alessandro 5 Gerhold, Stefan 5 Guralnick, Robert Michael 5 Hong, Jin 5 Ismail, Mourad El-Houssieny 5 Ivić, Aleksandar 5 Jen, Erica 5 Kuba, Markus F. 5 Li, Jiyou 5 Louboutin, Stéphane R. 5 Maire, Christian 5 Manstavičius, Eugenijus 5 McCurley, Kevin S. 5 Moree, Pieter 5 Ng, Nathan C. 5 Pittel, Boris G. 5 Richmond, L. Bruce 5 Rubinstein, Michael O. 5 Schnorr, Claus Peter 5 Stark, Dudley 5 Vu, Van H. 5 Wan, Daqing 5 Wang, Tianming 5 Wolfram, Stephen 5 Zaharescu, Alexandru 4 Allaway, William R. ...and 2,619 more Authors all top 5 Cited in 363 Serials 92 Theoretical Computer Science 91 Mathematics of Computation 89 Journal of Number Theory 80 Journal of Combinatorial Theory. Series A 77 Discrete Mathematics 46 Journal of Mathematical Analysis and Applications 42 Discrete Applied Mathematics 38 European Journal of Combinatorics 33 Designs, Codes and Cryptography 31 Advances in Mathematics 30 Transactions of the American Mathematical Society 30 Linear Algebra and its Applications 29 Random Structures & Algorithms 28 Proceedings of the American Mathematical Society 27 Advances in Applied Mathematics 26 The Electronic Journal of Combinatorics 23 Combinatorics, Probability and Computing 22 Journal of Computational and Applied Mathematics 22 Journal de Théorie des Nombres de Bordeaux 21 Journal of Statistical Physics 20 Information Processing Letters 20 Journal of Cryptology 19 International Journal of Number Theory 17 Algorithmica 17 The Annals of Applied Probability 17 Annals of Combinatorics 15 Information Sciences 15 Journal of Algebra 15 Studies in Applied Mathematics 15 Probability Theory and Related Fields 15 Bulletin of the American Mathematical Society. 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Commentarii Mathematici 10 Journal of Pure and Applied Algebra 9 Israel Journal of Mathematics 9 Journal of Applied Probability 9 Combinatorica 9 Applicable Algebra in Engineering, Communication and Computing 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Annales de l’Institut Fourier 8 Mathematische Annalen 8 Mathematika 8 Proceedings of the Japan Academy. Series A 8 Journal of the American Mathematical Society 8 SIAM Journal on Discrete Mathematics 8 Aequationes Mathematicae 8 Matematicheskie Voprosy Kriptografii 7 Advances in Applied Probability 7 Journal of Mathematical Physics 7 Archiv der Mathematik 7 Journal of Algebraic Combinatorics 7 Electronic Journal of Probability 7 Journal of Discrete Mathematical Sciences & Cryptography 7 Journal of Integer Sequences 7 Proceedings of the Steklov Institute of Mathematics 6 Bulletin of the Australian Mathematical Society 6 Lithuanian Mathematical Journal 6 Rocky Mountain Journal of Mathematics 6 Computing 6 Journal of Combinatorial Theory. Series B 6 Ergodic Theory and Dynamical Systems 6 Graphs and Combinatorics 6 Journal of Theoretical Probability 6 Mathematical and Computer Modelling 6 Queueing Systems 6 Annals of Mathematics. Second Series 6 LMS Journal of Computation and Mathematics 6 Integers 6 Journal of Statistical Mechanics: Theory and Experiment 6 Advances in Mathematics of Communications 5 Mathematical Notes 5 Compositio Mathematica 5 Journal of Soviet Mathematics 5 Journal of Statistical Planning and Inference 5 Manuscripta Mathematica 5 Acta Applicandae Mathematicae 5 Computers & Operations Research 5 European Journal of Operational Research 5 RAIRO. Informatique Théorique et Applications 5 Journal of Mathematical Sciences (New York) 5 Journal of Difference Equations and Applications 5 Journal of High Energy Physics ...and 263 more Serials all top 5 Cited in 59 Fields 801 Number theory (11-XX) 653 Combinatorics (05-XX) 432 Computer science (68-XX) 318 Probability theory and stochastic processes (60-XX) 254 Information and communication theory, circuits (94-XX) 89 Dynamical systems and ergodic theory (37-XX) 82 Group theory and generalizations (20-XX) 80 Operations research, mathematical programming (90-XX) 72 Linear and multilinear algebra; matrix theory (15-XX) 69 Special functions (33-XX) 69 Convex and discrete geometry (52-XX) 61 Algebraic geometry (14-XX) 60 Functions of a complex variable (30-XX) 58 Numerical analysis (65-XX) 50 Statistical mechanics, structure of matter (82-XX) 47 Biology and other natural sciences (92-XX) 42 Statistics (62-XX) 41 Field theory and polynomials (12-XX) 37 Measure and integration (28-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 33 Approximations and expansions (41-XX) 30 Quantum theory (81-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Order, lattices, ordered algebraic structures (06-XX) 24 Difference and functional equations (39-XX) 23 Operator theory (47-XX) 20 Mathematical logic and foundations (03-XX) 19 Real functions (26-XX) 16 Geometry (51-XX) 14 Commutative algebra (13-XX) 14 Topological groups, Lie groups (22-XX) 14 Integral transforms, operational calculus (44-XX) 13 Functional analysis (46-XX) 12 Associative rings and algebras (16-XX) 12 Nonassociative rings and algebras (17-XX) 10 Systems theory; control (93-XX) 9 General and overarching topics; collections (00-XX) 9 Ordinary differential equations (34-XX) 8 Partial differential equations (35-XX) 7 Sequences, series, summability (40-XX) 6 General topology (54-XX) 6 Manifolds and cell complexes (57-XX) 5 History and biography (01-XX) 5 Abstract harmonic analysis (43-XX) 5 Differential geometry (53-XX) 4 Potential theory (31-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 General algebraic systems (08-XX) 2 Category theory; homological algebra (18-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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