Edit Profile (opens in new tab) Odlyzko, Andrew M. Co-Author Distance Author ID: odlyzko.andrew-m Published as: Odlyzko, A. M.; Odlyzko, Andrew M.; Odlyzko, Andrew; Odlyzko, A.; Oldyzko, Andrew M. more...less Homepage: http://www.dtc.umn.edu/~odlyzko/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Documents Indexed: 159 Publications since 1973 2 Contributions as Editor · 8 Further Contributions Co-Authors: 132 Co-Authors with 123 Joint Publications 5,810 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 Anton 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 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, Harold 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 169 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 Tôhoku 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) 23 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 2,969 times in 2,512 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 0915.52003 Conway, J. H.; Sloane, N. J. A. 535 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 0634.52002 Conway, J. H.; Sloane, N. J. A. 409 1988 Singularity analysis of generating functions. Zbl 0712.05004 Flajolet, Philippe; Odlyzko, Andrew 306 1990 Handbook of finite fields. Zbl 1319.11001 196 2013 On the foundations of combinatorial theory. VIII: Finite operator calculus. Zbl 0267.05004 Rota, Gian-Carlo; Kahaner, D.; Odlyzko, A. 167 1973 Effective versions of the Chebotarev density theorem. Zbl 0362.12011 Lagarias, J. C.; Odlyzko, A. M. 149 1977 Asymptotic enumeration methods. Zbl 0845.05005 Odlyzko, A. M. 116 1995 Algebraic properties of cellular automata. Zbl 0564.68038 Martin, Olivier; Odlyzko, Andrew M.; Wolfram, Stephen 110 1984 String overlaps, pattern matching, and nontransitive games. Zbl 0454.68109 Guibas, L. J.; Odlyzko, A. M. 96 1981 On the distribution of spacings between zeros of the zeta function. Zbl 0615.10049 Odlyzko, A. M. 88 1987 The average height of binary trees and other simple trees. Zbl 0499.68027 Flajolet, Philippe; Odlyzko, Andrew 78 1982 Random mapping statistics. Zbl 0747.05006 Flajolet, Philippe; Odlyzko, Andrew M. 74 1990 A bound for the least prime ideal in the Chebotarev density theorem. Zbl 0401.12014 Lagarias, J. C.; Montgomery, H. L.; Odlyzko, A. M. 71 1979 Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions: A survey of recent results. Zbl 0722.11054 Odlyzko, A. M. 69 1990 Solving low-density subset sum problems. Zbl 0632.94007 Lagarias, J. C.; Odlyzko, A. M. 60 1985 Disproof of the Mertens conjecture. Zbl 0544.10047 Odlyzko, A. M.; te Riele, Herman J. J. 60 1985 Periods in strings. Zbl 0464.68070 Guibas, Leo J.; Odlyzko, Andrew M. 59 1981 Self-dual codes over GF(4). Zbl 0397.94013 MacWilliams, F. J.; Odlyzko, A. M.; Sloane, N. J. A.; Ward, H. N. 54 1978 New bounds on the number of unit spheres that can touch a unit sphere in n dimensions. Zbl 0408.52007 Odlyzko, A. M.; Sloane, N. J. A. 52 1979 Zeros of polynomials with \(0, 1\) coefficients. Zbl 0814.30006 Odlyzko, A. M.; Poonen, B. 51 1993 Discrete logarithms in finite fields and their cryptographic significance. Zbl 0594.94016 Odlyzko, A. M. 50 1985 Improved low-density subset sum algorithms. Zbl 0768.11049 Coster, Matthijs J.; Joux, Antoine; LaMacchia, Brian A.; Odlyzko, Andrew M.; Schnorr, Claus-Peter; Stern, Jacques 50 1992 Random shuffles and group representations. Zbl 0564.60007 Flatto, L.; Odlyzko, A. M.; Wales, D. B. 45 1985 Discrete logarithms in \(\mathrm{GF}(p)\). Zbl 0631.12010 Coppersmith, Don; Odlyzko, Andrew M.; Schroeppel, Richard 37 1986 Upper bounds for modular forms, lattices, and codes. Zbl 0311.94002 Mallows, C. L.; Odlyzko, A. M.; Sloane, N. J. A. 37 1975 Fast algorithms for multiple evaluations of the Riemann zeta function. Zbl 0706.11047 Odlyzko, A. M.; Schönhage, A. 35 1988 Long repetitive patterns in random sequences. Zbl 0424.60036 Guibas, L. J.; Odlyzko, A. M. 35 1980 The \(10^{22}\)-nd zero of the Riemann zeta function. Zbl 1022.11042 Odlyzko, A. M. 34 2001 Bounds for binary codes of length less than 25. Zbl 0369.94011 Best, M. R.; Brouwer, A. E.; MacWilliams, F. Jessie; Odlyzko, Andrew M.; Sloane, Neil J. A. 32 1978 Solving large sparse linear systems over finite fields. Zbl 0786.65028 LaMacchia, B. A.; Odlyzko, A. M. 32 1991 Lower bounds for discriminants of number fields. Zbl 0286.12006 Odlyzko, A. M. 30 1976 Non-negative digit sets in positional number systems. Zbl 0391.10012 Odlyzko, A. M. 30 1978 Lattice points in high-dimensional spheres. Zbl 0719.11063 Mazo, J. E.; Odlyzko, A. M. 28 1990 The rise and fall of knapsack cryptosystems. Zbl 0733.94012 Odlyzko, A. M. 27 1990 Some analytic estimates of class numbers and discriminants. Zbl 0306.12005 Odlyzko, Andrew M. 26 1975 Lower bounds for discriminants of number fields. II. Zbl 0362.12005 Odlyzko, A. M. 23 1977 Contemporary cryptology. The science of information integrity. Zbl 0784.94019 23 1992 Periodic oscillations of coefficients of power series that satisfy functional equations. Zbl 0484.30002 Odlyzko, A. M. 22 1982 Constant time generation of free trees. Zbl 0616.68063 Wright, Robert Alan; Richmond, Bruce; Odlyzko, Andrew; McKay, Brendan D. 21 1986 Maximal prefix-synchronized codes. Zbl 0394.94024 Guibas, L. J.; Odlyzko, A. M. 21 1978 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 0442.20016 Bombieri, Enrico 20 1980 On subspaces spanned by random selections of \(\pm 1\) vectors. Zbl 0664.05004 Odlyzko, A. M. 19 1988 On the residues of products of prime numbers. Zbl 0625.10035 Erdős, Paul; Odlyzko, Andrew M.; Sárközy, A. 19 1987 On the unimodality of high convolutions of discrete distributions. Zbl 0561.60021 Odlyzko, A. M.; Richmond, L. B. 18 1985 Finite operator calculus. With the collaboration of P. Doubilet, C. Greene, D. Kahaner, A: Odlyzko and R. Stanley. Zbl 0328.05007 Rota, Gian-Carlo 18 1975 On the packing densities of superballs and other bodies. Zbl 0736.52008 Elkies, N. D.; Odlyzko, A. M.; Rush, J. A. 18 1991 On the unimodality of some partition polynomials. Zbl 0482.10015 Odlyzko, A. M.; Richmond, L. B. 17 1982 Computing \(\pi(x)\): the Meissel-Lehmer method. Zbl 0564.10006 Lagarias, J. C.; Miller, V. S.; Odlyzko, A. M. 17 1985 Bounds for eigenvalues of certain stochastic matrices. Zbl 0474.05050 Landau, H. J.; Odlyzko, A. M. 17 1981 Discrete logarithms: The past and the future. Zbl 1033.11057 Odlyzko, Andrew 16 2000 Cryptanalysis: A survey of recent results. Zbl 0818.94014 Brickell, E. F.; Odlyzko, A. M. 16 1988 Computing \(\pi(x)\): an analytic method. Zbl 0622.10027 Lagarias, J. C.; Odlyzko, A. M. 16 1987 The distribution of heights of binary trees and other simple trees. Zbl 0795.05042 Flajolet, Philippe; Gao, Zhicheng; Odlyzko, Andrew; Richmond, Bruce 16 1993 Balancing sets of vectors. Zbl 0647.94018 Alon, N.; Bergmann, E. E.; Coppersmith, D.; Odlyzko, A. M. 15 1988 On longest increasing subsequences in random permutations. Zbl 0966.60010 Odlyzko, A. M.; Rains, E. M. 15 2000 Probabilistic analysis of optimum partitioning. Zbl 0611.60011 Karmarkar, Narendra; Karp, Richard M.; Lueker, George S.; Odlyzko, Andrew M. 14 1986 Functional iteration and the Josephus problem. Zbl 0751.05007 Odlyzko, Andrew M.; Wilf, Herbert S. 14 1991 On the density of odd integers of the form \((p-1)2^{-n}\) and related questions. Zbl 0405.10036 Erdős, Paul; Odlyzko, Andrew M. 14 1979 Differences of the partition function. Zbl 0584.10007 Odlyzko, A. M. 13 1988 Asymptotic expansions for the coefficients of analytic generating functions. Zbl 0557.05040 Odlyzko, A. M.; Richmond, L. B. 12 1985 Computation of discrete logarithms in prime fields. Zbl 0747.94012 LaMacchia, B. A.; Odlyzko, A. M. 12 1991 On computing Artin L-functions in the critical strip. Zbl 0409.12017 Lagarias, J. C.; Odlyzko, A. M. 12 1979 The past, evolving present, and future of the discrete logarithm. Zbl 1314.94006 Joux, Antoine; Odlyzko, Andrew; Pierrot, Cécile 12 2014 On an irreducibility theorem of A. Cohn. Zbl 0481.12006 Brillhart, John; Filaseta, Michael; Odlyzko, Andrew 11 1981 Gaps between zeros of the zeta function. Zbl 0546.10033 Montgomery, H. L.; Odlyzko, A. M. 11 1984 An improved bound for the de Bruijn-Newman constant. Zbl 0967.11034 Odlyzko, A. M. 11 2000 Some analytic estimates of class numbers and discriminants. Zbl 0299.12010 Odlyzko, Andrew M. 11 1975 On the compositions of an integer. Zbl 0451.05009 Odlyzko, A.; Richmond, B. 11 1980 Unique subjective probability on finite sets. Zbl 0678.60013 Fishburn, P. C.; Odlyzko, A. M. 10 1989 On conductors and discriminants. Zbl 0362.12006 Odlyzko, A. M. 10 1977 A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant \(\Lambda\). Zbl 0807.11059 Csordas, G.; Odlyzko, A. M.; Smith, Wayne; Varga, R. S. 10 1993 Explicit Tauberian estimates for functions with positive coefficients. Zbl 0763.40006 Odlyzko, A. M. 10 1992 A new proof of the linearity of the Boyer-Moore string searching algorithm. Zbl 0446.68050 Guibas, Leo J.; Odlyzko, Andrew M. 10 1980 Limit distributions for coefficients of iterates of polynomials with applications to combinatorial enumerations. Zbl 0566.30023 Flajolet, P.; Odlyzko, A. M. 9 1984 On the number of distinct block sizes in partitions of a set. Zbl 0575.05005 Odlyzko, A. M.; Richmond, L. B. 9 1985 Probabilities for intersecting systems and random subsets of finite sets. Zbl 0582.60014 Fishburn, P. C.; Frankl, P.; Freed, D.; Lagarias, J. C.; Odlyzko, A. M. 9 1986 On the ranks of some (0,1)-matrices with constant row sums. Zbl 0467.05016 Odlyzko, A. M. 9 1981 Large deviations of sums of independent random variables. Zbl 0641.60032 Montgomery, Hugh L.; Odlyzko, Andrew M. 8 1988 The editor’s corner: n coins in a fountain. Zbl 0673.05006 Odlyzko, Andrew M.; Wilf, Herbert S. 8 1988 An improved low-density subset sum algorithm. Zbl 0774.11075 Coster, M. J.; LaMacchia, B. A.; Odlyzko, A. M.; Schnorr, C. P. 8 1991 Cryptanalytic attacks on the multiplicative knapsack cryptosystem and on Shamir’s fast signature scheme. Zbl 0548.94020 Odlyzko, Andrew M. 8 1984 Jumping champions. Zbl 0993.11045 Odlyzko, Andrew; Rubinstein, Michael; Wolf, Marek 8 1999 Minima of cosine sums and maxima of polynomials on the unit circle. Zbl 0476.30005 Odlyzko, A. M. 8 1982 Two-sided generalized Fibonacci sequences. Zbl 0683.10011 Fishburn, Peter C.; Odlyzko, Andrew M.; Roberts, Fred S. 6 1989 On the density of sequences of integers the sum of no two of which is a square. II: General sequences. Zbl 0514.10041 Lagarias, J. C.; Odlyzko, A. M.; Shearer, J. B. 6 1983 Irreducibility testing and factorization of polynomials. Zbl 0527.12002 Adleman, Leonard M.; Odlyzko, Andrew M. 6 1983 Pebbling a chessboard. Zbl 0844.05032 Chung, Fan; Graham, Ron; Morrison, John; Odlyzko, Andrew 6 1995 The asymptotic number of irreducible partitions. Zbl 0569.05005 Bender, Edward A.; Odlyzko, Andrew M.; Richmond, L. Bruce 6 1985 Enumeration of power sums modulo a prime. Zbl 0375.10029 Odlyzko, Andrew M.; Stanley, Richard P. 6 1978 The zeta function on the critical line: numerical evidence for moments and random matrix theory models. Zbl 1269.11074 Hiary, Ghaith A.; Odlyzko, Andrew M. 6 2012 On subsets with cardinalities of intersections divisible by a fixed integer. Zbl 0524.05002 Frankl, P.; Odlyzko, A. M. 5 1983 A differential equation arising in chromatic sum theory. Zbl 0535.05035 Odlyzko, A. M.; Richmond, L. B. 5 1983 Search for the maximum of a random walk. Zbl 0818.60065 Odlyzko, A. M. 5 1995 Fine spectra and limit laws. II: First-order 0-1 laws. Zbl 0886.03028 Burris, Stanley; Compton, Kevin; Odlyzko, Andrew; Richmond, Bruce 5 1997 The asymptotic number of set partitions with unequal block sizes. Zbl 0913.05008 Knopfmacher, 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 0578.94001 Lagarias, J. C.; Odlyzko, A. M.; Zagier, Don B. 5 1985 k-color Sperner theorems. Zbl 0601.05003 Griggs, Jerrold R.; Odlyzko, Andrew M.; Shearer, James B. 5 1986 Enumeration of strings. Zbl 0603.68074 Odlyzko, A. M. 5 1985 Ramsey-Sperner theory. Zbl 0617.05039 Füredi, Zoltán; Griggs, Jerrold R.; Odlyzko, Andrew M.; Shearer, James B. 5 1987 Values of cyclotomic polynomials at roots of unity. Zbl 0446.12001 Kurshan, R. P.; Odlyzko, A. M. 5 1981 Search for ultraflat polynomials with plus and minus one coefficients. Zbl 1400.30005 Odlyzko, Andrew 5 2018 The past, evolving present, and future of the discrete logarithm. Zbl 1314.94006 Joux, Antoine; Odlyzko, Andrew; Pierrot, Cécile 12 2014 Handbook of finite fields. Zbl 1319.11001 196 2013 The zeta function on the critical line: numerical evidence for moments and random matrix theory models. Zbl 1269.11074 Hiary, Ghaith A.; Odlyzko, Andrew M. 6 2012 Numerical study of the derivative of the Riemann zeta function at zeros. Zbl 1318.11106 Hiary, Ghaith A.; Odlyzko, Andrew M. 4 2011 Index calculation attacks on RSA signature and encryption. Zbl 1142.94338 Coron, 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 0994.68570 Coffman, K. G.; Odlyzko, A. M. 2 2002 The \(10^{22}\)-nd zero of the Riemann zeta function. Zbl 1022.11042 Odlyzko, A. M. 34 2001 Discrete logarithms: The past and the future. Zbl 1033.11057 Odlyzko, Andrew 16 2000 On longest increasing subsequences in random permutations. Zbl 0966.60010 Odlyzko, A. M.; Rains, E. M. 15 2000 An improved bound for the de Bruijn-Newman constant. Zbl 0967.11034 Odlyzko, A. M. 11 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 0915.52003 Conway, J. H.; Sloane, N. J. A. 535 1999 Jumping champions. Zbl 0993.11045 Odlyzko, Andrew; Rubinstein, Michael; Wolf, Marek 8 1999 The asymptotic number of set partitions with unequal block sizes. Zbl 0913.05008 Knopfmacher, 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 0917.90041 Fishburn, Peter C.; Odlyzko, Andrew M. 3 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 3 1999 Attacks on Shamir’s ‘RSA for paranoids’. Zbl 1339.94044 Gilbert, Henri; Gupta, Dipankar; Odlyzko, Andrew; Quisquater, Jean-Jacques 3 1998 An optimal acceptance policy for an urn scheme. Zbl 0912.60060 Chen, Robert W.; Zame, Alan; Odlyzko, Andrew M.; Shepp, Larry A. 2 1998 Fine spectra and limit laws. II: First-order 0-1 laws. Zbl 0886.03028 Burris, Stanley; Compton, Kevin; Odlyzko, Andrew; Richmond, Bruce 5 1997 Monotonic subsequences in dimensions higher than one. Zbl 0884.05001 Odlyzko, 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 1053.11532 Forrester, P. J.; Odlyzko, A. M. 1 1997 Analytic methods in asymptotic enumeration. Zbl 0852.05011 Odlyzko, A. M. 2 1996 Asymptotic enumeration methods. Zbl 0845.05005 Odlyzko, A. M. 116 1995 Pebbling a chessboard. Zbl 0844.05032 Chung, Fan; Graham, Ron; Morrison, John; Odlyzko, Andrew 6 1995 Search for the maximum of a random walk. Zbl 0818.60065 Odlyzko, A. M. 5 1995 Analytic computations in number theory. Zbl 0822.11085 Odlyzko, Andrew M. 4 1994 Discrete logarithms and smooth polynomials. Zbl 0813.11072 Odlyzko, A. M. 4 1994 Search for the maximum of a random walk. Zbl 1345.05095 Odlyzko, Andrew M. 1 1994 Zeros of polynomials with \(0, 1\) coefficients. Zbl 0814.30006 Odlyzko, A. M.; Poonen, B. 51 1993 The distribution of heights of binary trees and other simple trees. Zbl 0795.05042 Flajolet, 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 0807.11059 Csordas, G.; Odlyzko, A. M.; Smith, Wayne; Varga, R. S. 10 1993 Iterated absolute values of differences of consecutive primes. Zbl 0781.11037 Odlyzko, Andrew M. 4 1993 Nonexistence of Siegel zeros in towers of radical extensions. Zbl 0797.11090 Odlyzko, Andrew M.; Skinner, Chris M. 1 1993 Improved low-density subset sum algorithms. Zbl 0768.11049 Coster, Matthijs J.; Joux, Antoine; LaMacchia, Brian A.; Odlyzko, Andrew M.; Schnorr, Claus-Peter; Stern, Jacques 50 1992 Contemporary cryptology. The science of information integrity. Zbl 0784.94019 23 1992 Explicit Tauberian estimates for functions with positive coefficients. Zbl 0763.40006 Odlyzko, A. M. 10 1992 Existence of short proofs for nondivisibility of sparse polynomials under the Extended Riemann Hypothesis. Zbl 0963.68508 Grigoriev, Dima Yu.; Karpinski, Marek; Odlyzko, Andrew M. 1 1992 Solving large sparse linear systems over finite fields. Zbl 0786.65028 LaMacchia, B. A.; Odlyzko, A. M. 32 1991 On the packing densities of superballs and other bodies. Zbl 0736.52008 Elkies, N. D.; Odlyzko, A. M.; Rush, J. A. 18 1991 Functional iteration and the Josephus problem. Zbl 0751.05007 Odlyzko, Andrew M.; Wilf, Herbert S. 14 1991 Computation of discrete logarithms in prime fields. Zbl 0747.94012 LaMacchia, B. A.; Odlyzko, A. M. 12 1991 An improved low-density subset sum algorithm. Zbl 0774.11075 Coster, M. J.; LaMacchia, B. A.; Odlyzko, A. M.; Schnorr, C. P. 8 1991 Singularity analysis of generating functions. Zbl 0712.05004 Flajolet, Philippe; Odlyzko, Andrew 306 1990 Random mapping statistics. Zbl 0747.05006 Flajolet, Philippe; Odlyzko, Andrew M. 74 1990 Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions: A survey of recent results. Zbl 0722.11054 Odlyzko, A. M. 69 1990 Lattice points in high-dimensional spheres. Zbl 0719.11063 Mazo, J. E.; Odlyzko, A. M. 28 1990 The rise and fall of knapsack cryptosystems. Zbl 0733.94012 Odlyzko, A. M. 27 1990 On the number of alignments of k sequences. Zbl 0699.05006 Griggs, J. R.; Hanlon, P.; Odlyzko, A. M.; Waterman, M. S. 3 1990 Unique subjective probability on finite sets. Zbl 0678.60013 Fishburn, P. C.; Odlyzko, A. M. 10 1989 Two-sided generalized Fibonacci sequences. Zbl 0683.10011 Fishburn, 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 0634.52002 Conway, J. H.; Sloane, N. J. A. 409 1988 Fast algorithms for multiple evaluations of the Riemann zeta function. Zbl 0706.11047 Odlyzko, A. M.; Schönhage, A. 35 1988 On subspaces spanned by random selections of \(\pm 1\) vectors. Zbl 0664.05004 Odlyzko, A. M. 19 1988 Cryptanalysis: A survey of recent results. Zbl 0818.94014 Brickell, E. F.; Odlyzko, A. M. 16 1988 Balancing sets of vectors. Zbl 0647.94018 Alon, N.; Bergmann, E. E.; Coppersmith, D.; Odlyzko, A. M. 15 1988 Differences of the partition function. Zbl 0584.10007 Odlyzko, A. M. 13 1988 Large deviations of sums of independent random variables. Zbl 0641.60032 Montgomery, Hugh L.; Odlyzko, Andrew M. 8 1988 The editor’s corner: n coins in a fountain. Zbl 0673.05006 Odlyzko, Andrew M.; Wilf, Herbert S. 8 1988 Decreasing energy functions and lengths of transients for some cellular automata. Zbl 0671.68031 Goles, Eric; Odlyzko, Andrew M. 3 1988 On the distribution of spacings between zeros of the zeta function. Zbl 0615.10049 Odlyzko, A. M. 88 1987 On the residues of products of prime numbers. Zbl 0625.10035 Erdős, Paul; Odlyzko, Andrew M.; Sárközy, A. 19 1987 Computing \(\pi(x)\): an analytic method. Zbl 0622.10027 Lagarias, J. C.; Odlyzko, A. M. 16 1987 Ramsey-Sperner theory. Zbl 0617.05039 Füredi, Zoltán; Griggs, Jerrold R.; Odlyzko, Andrew M.; Shearer, James B. 5 1987 The asymptotic behavior of a family of sequences. Zbl 0558.10010 Erdős, Paul; Hildebrand, A.; Odlyzko, Andrew M.; Pudaite, P.; Reznick, B. 4 1987 On the periods of some graph transformations. Zbl 0672.05080 Odlyzko, Andrew M.; Randall, Dana J. 2 1987 Bandwidths and profiles of trees. Zbl 0588.05015 Odlyzko, Andrew M.; Wilf, Herbert S. 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 2 1987 Discrete logarithms in \(\mathrm{GF}(p)\). Zbl 0631.12010 Coppersmith, Don; Odlyzko, Andrew M.; Schroeppel, Richard 37 1986 Constant time generation of free trees. Zbl 0616.68063 Wright, Robert Alan; Richmond, Bruce; Odlyzko, Andrew; McKay, Brendan D. 21 1986 Probabilistic analysis of optimum partitioning. Zbl 0611.60011 Karmarkar, Narendra; Karp, Richard M.; Lueker, George S.; Odlyzko, Andrew M. 14 1986 Probabilities for intersecting systems and random subsets of finite sets. Zbl 0582.60014 Fishburn, P. C.; Frankl, P.; Freed, D.; Lagarias, J. C.; Odlyzko, A. M. 9 1986 k-color Sperner theorems. Zbl 0601.05003 Griggs, Jerrold R.; Odlyzko, Andrew M.; Shearer, James B. 5 1986 On the existence of optimum cyclic burst-correcting codes. Zbl 0623.94013 Abdel-Ghaffar, Khaled A. S.; McEliece, Robert J.; Odlyzko, Andrew M.; van Tilborg, Henk C. A. 3 1986 Solving low-density subset sum problems. Zbl 0632.94007 Lagarias, J. C.; Odlyzko, A. M. 60 1985 Disproof of the Mertens conjecture. Zbl 0544.10047 Odlyzko, A. M.; te Riele, Herman J. J. 60 1985 Discrete logarithms in finite fields and their cryptographic significance. Zbl 0594.94016 Odlyzko, A. M. 50 1985 Random shuffles and group representations. Zbl 0564.60007 Flatto, L.; Odlyzko, A. M.; Wales, D. B. 45 1985 On the unimodality of high convolutions of discrete distributions. Zbl 0561.60021 Odlyzko, A. M.; Richmond, L. B. 18 1985 Computing \(\pi(x)\): the Meissel-Lehmer method. Zbl 0564.10006 Lagarias, J. C.; Miller, V. S.; Odlyzko, A. M. 17 1985 Asymptotic expansions for the coefficients of analytic generating functions. Zbl 0557.05040 Odlyzko, A. M.; Richmond, L. B. 12 1985 On the number of distinct block sizes in partitions of a set. Zbl 0575.05005 Odlyzko, A. M.; Richmond, L. B. 9 1985 The asymptotic number of irreducible partitions. Zbl 0569.05005 Bender, Edward A.; Odlyzko, Andrew M.; Richmond, L. Bruce 6 1985 On the capacity of disjointly shared networks. Zbl 0578.94001 Lagarias, J. C.; Odlyzko, A. M.; Zagier, Don B. 5 1985 Enumeration of strings. Zbl 0603.68074 Odlyzko, A. M. 5 1985 Partitions of planar sets into small triangles. Zbl 0591.52004 Odlyzko, Andrew M.; Pintz, János; Stolarsky, Kenneth B. 1 1985 Algebraic properties of cellular automata. Zbl 0564.68038 Martin, Olivier; Odlyzko, Andrew M.; Wolfram, Stephen 110 1984 Gaps between zeros of the zeta function. Zbl 0546.10033 Montgomery, H. L.; Odlyzko, A. M. 11 1984 Limit distributions for coefficients of iterates of polynomials with applications to combinatorial enumerations. Zbl 0566.30023 Flajolet, P.; Odlyzko, A. M. 9 1984 Cryptanalytic attacks on the multiplicative knapsack cryptosystem and on Shamir’s fast signature scheme. Zbl 0548.94020 Odlyzko, Andrew M. 8 1984 Some new methods and results in tree enumeration. Zbl 0544.05020 Odlyzko, A. M. 3 1984 On the density of sequences of integers the sum of no two of which is a square. II: General sequences. Zbl 0514.10041 Lagarias, J. C.; Odlyzko, A. M.; Shearer, J. B. 6 1983 Irreducibility testing and factorization of polynomials. Zbl 0527.12002 Adleman, Leonard M.; Odlyzko, Andrew M. 6 1983 On subsets with cardinalities of intersections divisible by a fixed integer. Zbl 0524.05002 Frankl, P.; Odlyzko, A. M. 5 1983 A differential equation arising in chromatic sum theory. Zbl 0535.05035 Odlyzko, A. M.; Richmond, L. B. 5 1983 On the tightest packing of sums of vectors. Zbl 0525.05016 Griggs, Jerrold R.; Lagarias, Jeffrey C.; Odlyzko, Andrew M.; Shearer, James B. 3 1983 The average height of binary trees and other simple trees. Zbl 0499.68027 Flajolet, Philippe; Odlyzko, Andrew 78 1982 Periodic oscillations of coefficients of power series that satisfy functional equations. Zbl 0484.30002 Odlyzko, A. M. 22 1982 On the unimodality of some partition polynomials. Zbl 0482.10015 Odlyzko, A. M.; Richmond, L. B. 17 1982 Minima of cosine sums and maxima of polynomials on the unit circle. Zbl 0476.30005 Odlyzko, A. M. 8 1982 On the density of sequences of integers the sum of no two of which is a square. I: Arithmetic progressions. Zbl 0489.10052 Lagarias, 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 3,179 Authors 33 Odlyzko, Andrew M. 31 Prodinger, Helmut 30 Flajolet, Philippe 26 Drmota, Michael 16 Hwang, Hsien-Kuei 15 Sloane, Neil James Alexander 13 Gittenberger, Bernhard 13 Knopfmacher, Arnold 13 Niederhausen, Heinrich 13 Noy, Marc 13 Panholzer, Alois 13 Shparlinski, Igor E. 11 Blanchet-Sadri, Francine 11 Devroye, Luc P. J. A. 11 Miller, Steven J. 11 Murty, Maruti Ram 11 Panario, Daniel 10 Bousquet-Mélou, Mireille 10 Gao, Zhicheng 10 Hiary, Ghaith Ayesh 10 Lagarias, Jeffrey C. 10 Luca, Florian 9 Erdélyi, Tamás 9 Fishburn, Peter Clingerman 9 Grabner, Peter J. 9 Stark, Dudley 8 Barnabei, Marilena 8 Giménez, Omer 8 Kang, Mihyun 8 Kirschenhofer, Peter 8 Kwon, Soun-Hi 8 Lau, Kasing 8 Rota, Gian-Carlo 8 Salvy, Bruno 8 Szpankowski, Wojciech 8 Trudgian, Timothy S. 8 Wagner, Stephan G. 8 Zaman, Asif 7 Bachoc, Christine 7 Boĭvalenkov, Pet”r Georgiev 7 Conway, John Horton 7 Fulman, Jason E. 7 Gardy, Danièle 7 Heuberger, Clemens 7 Mironkin, Vladimir O. 7 Molteni, Giuseppe 7 Murty, Vijaya Kumar 7 Pak, Igor 7 Rué, Juanjo 7 Tao, Terence 6 Addario-Berry, Louigi 6 Bach, Eric 6 Bodini, Olivier 6 Cojocaru, Alina Carmen 6 Frankl, Péter 6 Fujii, Akio 6 Genitrini, Antoine 6 Goldston, Daniel Alan 6 Grenié, Loïc 6 Janson, Svante 6 Joni, S. A. 6 Knessl, Charles 6 Linowitz, Benjamin 6 Loeb, Daniel E. 6 Louchard, Guy 6 Lu, Shuwang 6 Miezaki, Tsuyoshi 6 Mossinghoff, Michael J. 6 Mutafchiev, Lyuben R. 6 Pittel, Boris G. 6 Roman, Steven M. 6 Rush, Jason A. 6 Schmutz, Eric 6 Su, Shenghui 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 Bui, Hung Manh 5 Büthe, Jan 5 Chen, Yonggao 5 Das, Sukanta 5 Deléglise, Marc 5 Di Bucchianico, Alessandro 5 Gerhold, Stefan 5 Guralnick, Robert Michael 5 Harada, Masaaki 5 Hong, Jin 5 Ismail, Mourad El-Houssieny 5 Ivić, Aleksandar 5 Jen, Erica 5 Kemp, Rainer 5 Kuba, Markus F. 5 Lecroq, Thierry 5 Li, Jiyou 5 Louboutin, Stéphane R. 5 Maire, Christian ...and 3,079 more Authors all top 5 Cited in 402 Serials 99 Journal of Number Theory 95 Mathematics of Computation 92 Theoretical Computer Science 82 Discrete Mathematics 80 Journal of Combinatorial Theory. Series A 49 Journal of Mathematical Analysis and Applications 46 Discrete Applied Mathematics 40 European Journal of Combinatorics 37 Designs, Codes and Cryptography 34 Transactions of the American Mathematical Society 33 Advances in Mathematics 32 Random Structures & Algorithms 31 Advances in Applied Mathematics 31 Linear Algebra and its Applications 30 Proceedings of the American Mathematical Society 28 The Electronic Journal of Combinatorics 25 Combinatorics, Probability and Computing 24 International Journal of Number Theory 23 Journal de Théorie des Nombres de Bordeaux 22 Journal of Statistical Physics 22 Journal of Computational and Applied Mathematics 21 Journal of Cryptology 21 Annals of Combinatorics 20 Information Processing Letters 18 Acta Arithmetica 18 Algorithmica 18 The Annals of Applied Probability 18 Experimental Mathematics 18 The Ramanujan Journal 16 Information Sciences 16 Journal of Algebra 16 Probability Theory and Related Fields 16 Research in Number Theory 15 Studies in Applied Mathematics 15 Bulletin of the American Mathematical Society. New Series 14 Inventiones Mathematicae 14 Monatshefte für Mathematik 14 Journal of Symbolic Computation 14 Stochastic Processes and their Applications 13 Computers & Mathematics with Applications 13 Communications in Mathematical Physics 13 Mathematika 13 Discrete & Computational Geometry 13 Information and Computation 13 Finite Fields and their Applications 12 Journal of Computer and System Sciences 12 Statistics & Probability Letters 12 Physica D 11 The Annals of Probability 11 Applied Mathematics and Computation 11 Duke Mathematical Journal 11 Indagationes Mathematicae. New Series 10 Israel Journal of Mathematics 10 Journal of Mathematical Physics 10 Functiones et Approximatio. Commentarii Mathematici 10 Journal of Pure and Applied Algebra 10 Mathematische Annalen 10 Combinatorica 9 Bulletin of the Australian Mathematical Society 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Journal of Applied Probability 9 SIAM Journal on Discrete Mathematics 9 Aequationes Mathematicae 9 Applicable Algebra in Engineering, Communication and Computing 9 Journal of High Energy Physics 9 Journal of Statistical Mechanics: Theory and Experiment 9 Matematicheskie Voprosy Kriptografii 8 Advances in Applied Probability 8 Annales de l’Institut Fourier 8 Proceedings of the Japan Academy. Series A 8 Ergodic Theory and Dynamical Systems 8 Graphs and Combinatorics 8 Journal of the American Mathematical Society 8 Journal of Algebraic Combinatorics 8 Electronic Journal of Probability 8 Journal of Discrete Mathematical Sciences & Cryptography 8 Journal of Integer Sequences 7 Lithuanian Mathematical Journal 7 Rocky Mountain Journal of Mathematics 7 Archiv der Mathematik 7 Manuscripta Mathematica 7 Queueing Systems 7 The Australasian Journal of Combinatorics 7 Proceedings of the Steklov Institute of Mathematics 6 Computing 6 Journal of Combinatorial Theory. Series B 6 Journal of Functional Analysis 6 Journal of the London Mathematical Society. Second Series 6 Mathematische Zeitschrift 6 Journal of Theoretical Probability 6 Mathematical and Computer Modelling 6 Discrete Mathematics and Applications 6 European Journal of Operational Research 6 Annals of Mathematics. Second Series 6 LMS Journal of Computation and Mathematics 6 Integers 6 Journal of Physics A: Mathematical and Theoretical 6 Advances in Mathematics of Communications 6 Cryptography and Communications 5 Journal of Mathematical Biology ...and 302 more Serials all top 5 Cited in 59 Fields 952 Number theory (11-XX) 733 Combinatorics (05-XX) 475 Computer science (68-XX) 368 Probability theory and stochastic processes (60-XX) 291 Information and communication theory, circuits (94-XX) 105 Dynamical systems and ergodic theory (37-XX) 96 Operations research, mathematical programming (90-XX) 93 Group theory and generalizations (20-XX) 85 Linear and multilinear algebra; matrix theory (15-XX) 81 Special functions (33-XX) 80 Algebraic geometry (14-XX) 76 Convex and discrete geometry (52-XX) 75 Functions of a complex variable (30-XX) 60 Numerical analysis (65-XX) 58 Statistical mechanics, structure of matter (82-XX) 49 Biology and other natural sciences (92-XX) 47 Field theory and polynomials (12-XX) 47 Statistics (62-XX) 41 Measure and integration (28-XX) 40 Quantum theory (81-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 38 Approximations and expansions (41-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 24 Difference and functional equations (39-XX) 24 Operator theory (47-XX) 21 Real functions (26-XX) 20 Mathematical logic and foundations (03-XX) 17 Geometry (51-XX) 16 Commutative algebra (13-XX) 15 Topological groups, Lie groups (22-XX) 15 Ordinary differential equations (34-XX) 14 Associative rings and algebras (16-XX) 14 Integral transforms, operational calculus (44-XX) 13 Functional analysis (46-XX) 12 Nonassociative rings and algebras (17-XX) 11 General and overarching topics; collections (00-XX) 11 Partial differential equations (35-XX) 11 Systems theory; control (93-XX) 8 Differential geometry (53-XX) 8 Manifolds and cell complexes (57-XX) 7 Sequences, series, summability (40-XX) 6 History and biography (01-XX) 6 General topology (54-XX) 6 Relativity and gravitational theory (83-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Abstract harmonic analysis (43-XX) 5 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 4 Potential theory (31-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General algebraic systems (08-XX) 3 Integral equations (45-XX) 2 Category theory; homological algebra (18-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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