# zbMATH — the first resource for mathematics

## Elkies, Noam David

Compute Distance To:
 Author ID: elkies.noam-d Published as: Elkies, N. D.; Elkies, Noam; Elkies, Noam D. Homepage: http://www.math.harvard.edu/~elkies/ External Links: MGP · Wikidata · MathOverflow · dblp
 Documents Indexed: 74 Publications since 1986 Biographic References: 1 Publication
all top 5

#### Co-Authors

 37 single-authored 5 Kominers, Scott Duke 4 Cohn, Henry Lee 3 Gross, Benedict Hyman 3 Kumar, Abhinav 3 Propp, James Gary 2 Conway, John Horton 2 Howe, Everett W. 2 Kuperberg, Gregory John 2 Larsen, Michael Jeffrey 2 McMullen, Curtis Tracy 2 Poonen, Bjorn 2 Rogers, Nicholas F. 2 Schütt, Matthias 2 Watkins, Mark James 1 Arias-de-Reyna, Juan 1 Berry, Neil 1 Bhargava, Manjul 1 Blanc, Jérémy 1 Bruin, Nils 1 Canci, Jung Kyu 1 Clark, David Alan 1 Donnelly, Stephen 1 Dubickas, Artūras 1 Eisenbud, David 1 Fisher, Tom A. 1 Granville, Andrew James 1 Harris, Joseph Daniel 1 Kalaj, David 1 Kane, Daniel M. 1 Kresch, Andrew 1 Li, Wen-Ch’ing Winnie 1 Maharaj, Hiren 1 Martin, Jeremy L. 1 Odlyzko, Andrew M. 1 Ono, Ken 1 Pretorius, Lou M. 1 Ritzenthaler, Christophe 1 Rush, Jason A. 1 Schürmann, Achill 1 Shnidman, Ari 1 Smyth, Christopher J. 1 Speiser, Robert 1 Stichtenoth, Henning 1 Swaminathan, Ashvin Anand 1 Swanepoel, Konrad J. 1 Wetherell, Joseph L. 1 Yang, Tonghai 1 Zieve, Michael E.
all top 5

#### Serials

 5 Duke Mathematical Journal 5 IMRN. International Mathematics Research Notices 3 Compositio Mathematica 3 Inventiones Mathematicae 3 Proceedings of the American Mathematical Society 3 Experimental Mathematics 2 Notices of the American Mathematical Society 2 Journal of Algebraic Combinatorics 2 Journal de Théorie des Nombres de Bordeaux 2 The Electronic Journal of Combinatorics 2 Mathematical Research Letters 1 American Mathematical Monthly 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Mathematics Magazine 1 Advances in Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Discrete & Computational Geometry 1 SIAM Journal on Discrete Mathematics 1 The New York Journal of Mathematics 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 The Quarterly Journal of Mathematics 1 Computational Methods and Function Theory 1 Algebra & Number Theory
all top 5

#### Fields

 53 Number theory (11-XX) 25 Algebraic geometry (14-XX) 11 Combinatorics (05-XX) 10 Information and communication theory, circuits (94-XX) 7 Convex and discrete geometry (52-XX) 4 Group theory and generalizations (20-XX) 4 Geometry (51-XX) 3 Field theory and polynomials (12-XX) 3 Nonassociative rings and algebras (17-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH

63 Publications have been cited 873 times in 755 Documents Cited by Year
Alternating-sign matrices and domino tilings. I. Zbl 0779.05009
Elkies, Noam; Kuperberg, Greg; Larsen, Michael; Propp, James
1992
New upper bounds on sphere packings. I. Zbl 1041.52011
Cohn, Henry; Elkies, Noam
2003
Local statistics for random domino tilings of the Aztec diamond. Zbl 0866.60018
Cohn, Henry; Elkies, Noam; Propp, James
1996
Alternating-sign matrices and domino tilings. II. Zbl 0788.05017
Elkies, Noam; Kuperberg, Greg; Larsen, Michael; Propp, James
1992
The existence of infinitely many supersingular primes for every elliptic curve over $$\mathbb Q$$. Zbl 0631.14024
Elkies, Noam D.
1987
Elliptic and modular curves over finite fields and related computational issues. Zbl 0915.11036
Elkies, Noam D.
1998
The Klein quartic in number theory. Zbl 0991.11032
Elkies, Noam D.
1999
A characterization of the $$\mathbb Z^ n$$ lattice. Zbl 0855.11032
Elkies, Noam D.
1995
Shimura curve computations. Zbl 1010.11030
Elkies, Noam D.
1998
$$abc$$ implies Mordell. Zbl 0763.11016
Elkies, Noam D.
1991
Rational points near curves and small nonzero $$|x^3-y^2|$$ via lattice reduction. Zbl 0991.11072
Elkies, Noam D.
2000
Gaps in $$\sqrt{n}\bmod 1$$ and ergodic theory. Zbl 1063.11020
Elkies, Noam D.; McMullen, Curtis T.
2004
On the sums $$\sum_{k=-\infty}^\infty (4k+1)^{-n}$$. Zbl 1083.11055
Elkies, Noam D.
2003
Explicit towers of Drinfeld modular curves. Zbl 1031.11035
Elkies, Noam D.
2001
K3 surfaces and equations for Hilbert modular surfaces. Zbl 1317.11048
Elkies, Noam; Kumar, Abhinav
2014
Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323
Elkies, Noam; Ono, Ken; Yang, Tonghai
2005
Lattices and codes with long shadows. Zbl 0854.11021
Elkies, Noam D.
1995
On the packing densities of superballs and other bodies. Zbl 0736.52008
Elkies, N. D.; Odlyzko, A. M.; Rush, J. A.
1991
Heegner point computations. Zbl 0837.14044
Elkies, Noam D.
1994
Distribution of supersingular primes. Zbl 0754.14019
Elkies, Noam D.
1991
The $$D_4$$ root system is not universally optimal. Zbl 1137.05020
Cohn, Henry; Conway, John H.; Elkies, Noam D.; Kumar, Abhinav
2007
On elliptic $$K$$-curves. Zbl 1166.11335
Elkies, Noam D.
2004
The exceptional cone and the Leech lattice. Zbl 0863.11027
Elkies, Noam D.; Gross, Benedict H.
1996
Mordell-Weil lattices in characteristic 2. I: Construction and first properties. Zbl 0813.52017
Elkies, Noam D.
1994
On the Hurwitz scheme and its monodromy. Zbl 0726.14022
Eisenbud, David; Elkies, Noam; Harris, Joe; Speiser, Robert
1991
Modular forms and $$K3$$ surfaces. Zbl 1314.14069
Elkies, Noam D.; Schütt, Matthias
2013
The automorphism group of the modular curve $$X_ 0(63)$$. Zbl 0708.14016
Elkies, Noam D.
1990
Supersingular primes for elliptic curves over real number fields. Zbl 0708.14020
Elkies, Noam D.
1989
Shimura curve computations via $$K3$$ surfaces of Néron-Severi rank at least 19. Zbl 1205.11069
Elkies, Noam D.
2008
Mordell-Weil lattices in characteristic 2. II: The Leech lattice as a Mordell-Weil lattice. Zbl 0897.11023
Elkies, Noam D.
1997
On $$A^ 4+B^ 4+C^ 4=D^ 4$$. Zbl 0698.10010
Elkies, Noam D.
1988
Shimura curves for level-3 subgroups of the (2,3,7) triangle group, and some other examples. Zbl 1143.11328
Elkies, Noam D.
2006
Sylvester-Gallai theorems for complex numbers and quaternions. Zbl 1091.51501
Elkies, Noam; Pretorius, Lou M.; Swanepoel, Konrad J.
2006
Curves of every genus with many points. II: Asymptotically good families. Zbl 1072.11041
Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E.
2004
Trinomials $$ax + bx + c$$ and $$ax + bx+ c$$ with Galois groups of order 168 and $$8\cdot 168$$. Zbl 1058.11044
Bruin, Nils; Elkies, Noam D.
2002
The Mathieu group $$M_{12}$$ and its pseudogroup extension $$M_{13}$$. Zbl 1112.20003
Conway, John H.; Elkies, Noam D.; Martin, Jeremy L.
2006
Point configurations that are asymmetric yet balanced. Zbl 1201.52017
Cohn, Henry; Elkies, Noam D.; Kumar, Abhinav; Schürmann, Achill
2010
Elliptic curves $$x^3+y^3=k$$ of high rank. Zbl 1125.11326
Elkies, Noam D.; Rogers, Nicholas F.
2004
Excellent codes from modular curves. Zbl 1323.94171
Elkies, Noam D.
2001
Linearized algebra and finite groups of Lie type. I: Linear and symplectic groups. Zbl 0976.20032
Elkies, Noam D.
1999
An improved lower bound on the greatest element of a sum-distinct set of fixed order. Zbl 0584.10036
Elkies, Noam D.
1986
Moduli spaces of quadratic rational maps with a marked periodic point of small order. Zbl 1349.37095
Blanc, Jérémy; Canci, Jung Kyu; Elkies, Noam D.
2015
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
2004
Lattices, linear codes, and invariants. I. Zbl 0992.11041
Elkies, Noam D.
2000
The still-Life density problem and its generalizations. Zbl 0948.91004
Elkies, Noam D.
1998
Genus 1 fibrations on the supersingular $$K3$$ surface in characteristic 2 with Artin invariant 1. Zbl 1319.14043
Elkies, Noam D.; Schütt, Matthias
2015
Ranks of quadratic twists of elliptic curves. Zbl 1365.11070
Watkins, Mark; Donnelly, Stephen; Elkies, Noam D.; Fisher, Tom; Granville, Andrew; Rogers, Nicholas F.
2014
Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035
Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe
2014
The complex polynomials $$P(x)$$ with $$\mathrm{Gal}(P(x)-t)\cong M_{23}$$. Zbl 1334.12006
Elkies, Noam D.
2013
Points of low height on elliptic curves and surfaces I: Elliptic surfaces over $${\mathbb P}$$ with small $$d$$. Zbl 1143.11334
Elkies, Noam D.
2006
Elliptic curves of large rank and small conductor. Zbl 1125.11327
Elkies, Noam D.; Watkins, Mark
2004
Lattices, linear codes, and invariants. II. Zbl 1047.11065
Elkies, Noam D.
2000
Wiles minus epsilon implies Fermat. Zbl 0836.11013
Elkies, Noam D.
1995
A real part theorem for the higher derivatives of analytic functions in the unit disk. Zbl 1277.31003
Elkies, Noam D.; Kalaj, David
2013
New optimal tame towers of function fields over small finite fields. Zbl 1064.11075
Li, Wen-Ching W.; Maharaj, Hiren; Stichtenoth, Henning; Elkies, Noam D.
2002
On finite sequences satisfying linear recursions. Zbl 1025.15036
Elkies, Noam D.
2002
Mordell-Weil lattices in characteristic 2. III: A Mordell-Weil lattice of rank 128. Zbl 1040.11041
Elkies, Noam D.
2001
Permutations that destroy arithmetic progressions in elementary $$p$$-groups. Zbl 1355.05007
Elkies, Noam D.; Swaminathan, Ashvin A.
2017
Weighted generating functions for type II lattices and codes. Zbl 1284.94152
Elkies, Noam D.; Kominers, Scott Duke
2013
On the classification of type II codes of length 24. Zbl 1208.94063
Elkies, Noam D.; Kominers, Scott Duke
2009
On some points-and-lines problems and configurations. Zbl 1127.52033
Elkies, Noam D.
2006
Curves $$Dy^2= x^3-x$$ of odd analytic rank. Zbl 1058.11034
Elkies, Noam D.
2002
On numbers and endgames: Combinatorial game theory in chess endgames. Zbl 0873.90142
Elkies, Noam D.
1997
Permutations that destroy arithmetic progressions in elementary $$p$$-groups. Zbl 1355.05007
Elkies, Noam D.; Swaminathan, Ashvin A.
2017
Moduli spaces of quadratic rational maps with a marked periodic point of small order. Zbl 1349.37095
Blanc, Jérémy; Canci, Jung Kyu; Elkies, Noam D.
2015
Genus 1 fibrations on the supersingular $$K3$$ surface in characteristic 2 with Artin invariant 1. Zbl 1319.14043
Elkies, Noam D.; Schütt, Matthias
2015
K3 surfaces and equations for Hilbert modular surfaces. Zbl 1317.11048
Elkies, Noam; Kumar, Abhinav
2014
Ranks of quadratic twists of elliptic curves. Zbl 1365.11070
Watkins, Mark; Donnelly, Stephen; Elkies, Noam D.; Fisher, Tom; Granville, Andrew; Rogers, Nicholas F.
2014
Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035
Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe
2014
Modular forms and $$K3$$ surfaces. Zbl 1314.14069
Elkies, Noam D.; Schütt, Matthias
2013
The complex polynomials $$P(x)$$ with $$\mathrm{Gal}(P(x)-t)\cong M_{23}$$. Zbl 1334.12006
Elkies, Noam D.
2013
A real part theorem for the higher derivatives of analytic functions in the unit disk. Zbl 1277.31003
Elkies, Noam D.; Kalaj, David
2013
Weighted generating functions for type II lattices and codes. Zbl 1284.94152
Elkies, Noam D.; Kominers, Scott Duke
2013
Point configurations that are asymmetric yet balanced. Zbl 1201.52017
Cohn, Henry; Elkies, Noam D.; Kumar, Abhinav; Schürmann, Achill
2010
On the classification of type II codes of length 24. Zbl 1208.94063
Elkies, Noam D.; Kominers, Scott Duke
2009
Shimura curve computations via $$K3$$ surfaces of Néron-Severi rank at least 19. Zbl 1205.11069
Elkies, Noam D.
2008
The $$D_4$$ root system is not universally optimal. Zbl 1137.05020
Cohn, Henry; Conway, John H.; Elkies, Noam D.; Kumar, Abhinav
2007
Shimura curves for level-3 subgroups of the (2,3,7) triangle group, and some other examples. Zbl 1143.11328
Elkies, Noam D.
2006
Sylvester-Gallai theorems for complex numbers and quaternions. Zbl 1091.51501
Elkies, Noam; Pretorius, Lou M.; Swanepoel, Konrad J.
2006
The Mathieu group $$M_{12}$$ and its pseudogroup extension $$M_{13}$$. Zbl 1112.20003
Conway, John H.; Elkies, Noam D.; Martin, Jeremy L.
2006
Points of low height on elliptic curves and surfaces I: Elliptic surfaces over $${\mathbb P}$$ with small $$d$$. Zbl 1143.11334
Elkies, Noam D.
2006
On some points-and-lines problems and configurations. Zbl 1127.52033
Elkies, Noam D.
2006
Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323
Elkies, Noam; Ono, Ken; Yang, Tonghai
2005
Gaps in $$\sqrt{n}\bmod 1$$ and ergodic theory. Zbl 1063.11020
Elkies, Noam D.; McMullen, Curtis T.
2004
On elliptic $$K$$-curves. Zbl 1166.11335
Elkies, Noam D.
2004
Curves of every genus with many points. II: Asymptotically good families. Zbl 1072.11041
Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E.
2004
Elliptic curves $$x^3+y^3=k$$ of high rank. Zbl 1125.11326
Elkies, Noam D.; Rogers, Nicholas F.
2004
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
2004
Elliptic curves of large rank and small conductor. Zbl 1125.11327
Elkies, Noam D.; Watkins, Mark
2004
New upper bounds on sphere packings. I. Zbl 1041.52011
Cohn, Henry; Elkies, Noam
2003
On the sums $$\sum_{k=-\infty}^\infty (4k+1)^{-n}$$. Zbl 1083.11055
Elkies, Noam D.
2003
Trinomials $$ax + bx + c$$ and $$ax + bx+ c$$ with Galois groups of order 168 and $$8\cdot 168$$. Zbl 1058.11044
Bruin, Nils; Elkies, Noam D.
2002
New optimal tame towers of function fields over small finite fields. Zbl 1064.11075
Li, Wen-Ching W.; Maharaj, Hiren; Stichtenoth, Henning; Elkies, Noam D.
2002
On finite sequences satisfying linear recursions. Zbl 1025.15036
Elkies, Noam D.
2002
Curves $$Dy^2= x^3-x$$ of odd analytic rank. Zbl 1058.11034
Elkies, Noam D.
2002
Explicit towers of Drinfeld modular curves. Zbl 1031.11035
Elkies, Noam D.
2001
Excellent codes from modular curves. Zbl 1323.94171
Elkies, Noam D.
2001
Mordell-Weil lattices in characteristic 2. III: A Mordell-Weil lattice of rank 128. Zbl 1040.11041
Elkies, Noam D.
2001
Rational points near curves and small nonzero $$|x^3-y^2|$$ via lattice reduction. Zbl 0991.11072
Elkies, Noam D.
2000
Lattices, linear codes, and invariants. I. Zbl 0992.11041
Elkies, Noam D.
2000
Lattices, linear codes, and invariants. II. Zbl 1047.11065
Elkies, Noam D.
2000
The Klein quartic in number theory. Zbl 0991.11032
Elkies, Noam D.
1999
Linearized algebra and finite groups of Lie type. I: Linear and symplectic groups. Zbl 0976.20032
Elkies, Noam D.
1999
Elliptic and modular curves over finite fields and related computational issues. Zbl 0915.11036
Elkies, Noam D.
1998
Shimura curve computations. Zbl 1010.11030
Elkies, Noam D.
1998
The still-Life density problem and its generalizations. Zbl 0948.91004
Elkies, Noam D.
1998
Mordell-Weil lattices in characteristic 2. II: The Leech lattice as a Mordell-Weil lattice. Zbl 0897.11023
Elkies, Noam D.
1997
On numbers and endgames: Combinatorial game theory in chess endgames. Zbl 0873.90142
Elkies, Noam D.
1997
Local statistics for random domino tilings of the Aztec diamond. Zbl 0866.60018
Cohn, Henry; Elkies, Noam; Propp, James
1996
The exceptional cone and the Leech lattice. Zbl 0863.11027
Elkies, Noam D.; Gross, Benedict H.
1996
A characterization of the $$\mathbb Z^ n$$ lattice. Zbl 0855.11032
Elkies, Noam D.
1995
Lattices and codes with long shadows. Zbl 0854.11021
Elkies, Noam D.
1995
Wiles minus epsilon implies Fermat. Zbl 0836.11013
Elkies, Noam D.
1995
Heegner point computations. Zbl 0837.14044
Elkies, Noam D.
1994
Mordell-Weil lattices in characteristic 2. I: Construction and first properties. Zbl 0813.52017
Elkies, Noam D.
1994
Alternating-sign matrices and domino tilings. I. Zbl 0779.05009
Elkies, Noam; Kuperberg, Greg; Larsen, Michael; Propp, James
1992
Alternating-sign matrices and domino tilings. II. Zbl 0788.05017
Elkies, Noam; Kuperberg, Greg; Larsen, Michael; Propp, James
1992
$$abc$$ implies Mordell. Zbl 0763.11016
Elkies, Noam D.
1991
On the packing densities of superballs and other bodies. Zbl 0736.52008
Elkies, N. D.; Odlyzko, A. M.; Rush, J. A.
1991
Distribution of supersingular primes. Zbl 0754.14019
Elkies, Noam D.
1991
On the Hurwitz scheme and its monodromy. Zbl 0726.14022
Eisenbud, David; Elkies, Noam; Harris, Joe; Speiser, Robert
1991
The automorphism group of the modular curve $$X_ 0(63)$$. Zbl 0708.14016
Elkies, Noam D.
1990
Supersingular primes for elliptic curves over real number fields. Zbl 0708.14020
Elkies, Noam D.
1989
On $$A^ 4+B^ 4+C^ 4=D^ 4$$. Zbl 0698.10010
Elkies, Noam D.
1988
The existence of infinitely many supersingular primes for every elliptic curve over $$\mathbb Q$$. Zbl 0631.14024
Elkies, Noam D.
1987
An improved lower bound on the greatest element of a sum-distinct set of fixed order. Zbl 0584.10036
Elkies, Noam D.
1986
all top 5

#### Cited by 942 Authors

 12 Lai, Tri 11 Cohn, Henry Lee 10 Nebe, Gabriele 9 Ciucu, Mihai 9 Kumar, Abhinav 9 Schütt, Matthias 8 Gorin, Vadim 8 Pronko, Andrei G. 7 Colomo, Filippo 7 Elkies, Noam David 7 Yang, Yifan 6 Bassa, Alp 6 Di Francesco, Philippe 6 Fischer, Ilse 6 Marklof, Jens 6 Shparlinski, Igor E. 6 Tiep Pham Huu 6 Voight, John Michael 5 Beelen, Pieter Hendrik Turdus 5 Chhita, Sunil 5 Johansson, Kurt 5 Propp, James Gary 5 Rush, Jason A. 5 Sutherland, Andrew V. 5 Venkov, Boris B. 4 Behrend, Roger E. 4 Borodin, Alexei 4 Dvir, Zeev 4 González, Josep R. 4 Luca, Florian 4 Musiker, Gregg 4 Radchenko, Danylo V. 4 Raka, Madhu 4 Rassoul-Agha, Firas 4 Richter, Olav K. 4 Saff, Edward Barry 4 Saldanha, Nicolau Corção 4 Seppäläinen, Timo 4 Sijsling, Jeroen 4 Silverman, Joseph Hillel 4 Stanley, Richard Peter 4 Stichtenoth, Henning 4 Stoll, Michael 4 Vallentin, Frank 4 Yan, Weigen 3 Adler, Mark 3 Bannai, Eiichi 3 Bars Cortina, Francesc 3 Bennett, Michael A. 3 Bondarenko, Andriy V. 3 Boyvalenkov, Peter G. 3 Bufetov, Alekseĭ Igor’evich 3 Cheng, Qi 3 Costa, Sueli Irene Rodrigues 3 de Laat, David 3 de Oliveira Filho, Fernando Mário 3 Ehrenborg, Richard 3 Fisher, Tom A. 3 Georgiou, Nicos 3 Gillespie, Neil I. 3 Gonçalves, Felipe M. 3 Greene, Joshua Evan 3 Guitart, Xavier 3 Guitter, Emmanuel 3 Hardin, Doug P. 3 Jahnel, Jörg 3 Kane, Ben 3 Kenyon, Richard W. 3 Lecacheux, Odile 3 Lozano-Robledo, Álvaro 3 Matolcsi, Máté 3 Morton, Patrick 3 Nagano, Atsuhira 3 Oh, Seungsang 3 Ono, Ken 3 Ozsváth, Peter Steven 3 Pak, Igor 3 Pemantle, Robin 3 Reshetikhin, Nikolai Yu. 3 Schiffler, Ralf 3 Striker, Jessica 3 Strömbergsson, Andreas 3 Surroca, Andrea 3 Szabo, Zoltan 3 Toninelli, Fabio Lucio 3 Top, Jaap 3 Torquato, Salvatore 3 van Moerbeke, Pierre 3 Weiner, Mihály 3 Zhang, Fuji 2 Aggarwal, Amol 2 Akbary, Amir 2 Alkan, Emre 2 Allcock, Daniel Jonathan 2 Anbar, Nurdagül 2 Ardila Mantilla, Federico 2 Babenko, Aleksandr Grigor’evich 2 Ballet, Stéphane 2 Ballico, Edoardo 2 Bannai, Etsuko ...and 842 more Authors
all top 5

#### Cited in 180 Serials

 51 Journal of Number Theory 38 Mathematics of Computation 31 Proceedings of the American Mathematical Society 23 Journal of Combinatorial Theory. Series A 23 Journal de Théorie des Nombres de Bordeaux 22 Advances in Mathematics 22 Transactions of the American Mathematical Society 21 Journal of Algebra 19 Communications in Mathematical Physics 19 Duke Mathematical Journal 16 Discrete Mathematics 16 International Journal of Number Theory 15 Journal of Statistical Physics 12 Finite Fields and their Applications 11 Advances in Applied Mathematics 10 European Journal of Combinatorics 10 Discrete & Computational Geometry 10 Bulletin of the American Mathematical Society. New Series 10 The Ramanujan Journal 9 Mathematische Annalen 9 Theoretical Computer Science 9 Journal of Algebraic Combinatorics 8 Journal of Mathematical Physics 7 Israel Journal of Mathematics 7 Journal of Mathematical Sciences (New York) 7 Geometry & Topology 6 Inventiones Mathematicae 6 Mathematische Zeitschrift 6 Journal of the American Mathematical Society 6 Linear Algebra and its Applications 6 Annals of Mathematics. Second Series 5 Annales de l’Institut Fourier 5 The Annals of Probability 5 Graphs and Combinatorics 5 Probability Theory and Related Fields 5 SIAM Journal on Discrete Mathematics 5 Designs, Codes and Cryptography 5 Experimental Mathematics 5 The Electronic Journal of Combinatorics 5 Research in the Mathematical Sciences 4 Bulletin of the Australian Mathematical Society 4 Compositio Mathematica 4 Geometriae Dedicata 4 Monatshefte für Mathematik 4 Annals of Combinatorics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Statistical Mechanics: Theory and Experiment 4 Research in Number Theory 3 American Mathematical Monthly 3 Rocky Mountain Journal of Mathematics 3 Archiv der Mathematik 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Combinatorial Theory. Series B 3 Journal of the Mathematical Society of Japan 3 Proceedings of the Japan Academy. Series A 3 Proceedings of the London Mathematical Society. Third Series 3 Journal of Symbolic Computation 3 Revista Matemática Iberoamericana 3 Journal of the European Mathematical Society (JEMS) 3 Journal of High Energy Physics 3 Bulletin of the Brazilian Mathematical Society. New Series 2 Analysis Mathematica 2 Indian Journal of Pure & Applied Mathematics 2 Letters in Mathematical Physics 2 Linear and Multilinear Algebra 2 Mathematische Semesterberichte 2 Nuclear Physics. B 2 Periodica Mathematica Hungarica 2 Russian Mathematical Surveys 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Bulletin of the London Mathematical Society 2 Illinois Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematika 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Topology and its Applications 2 Acta Mathematica Hungarica 2 Journal of Complexity 2 Constructive Approximation 2 Forum Mathematicum 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Expositiones Mathematicae 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Indagationes Mathematicae. New Series 2 Journal of Knot Theory and its Ramifications 2 LMS Journal of Computation and Mathematics 2 Acta Mathematica Sinica. English Series 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Modern Dynamics 2 Analysis and Mathematical Physics 2 Forum of Mathematics, Sigma 1 Artificial Intelligence 1 Communications in Algebra 1 Information Processing Letters 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute ...and 80 more Serials
all top 5

#### Cited in 54 Fields

 391 Number theory (11-XX) 182 Algebraic geometry (14-XX) 166 Combinatorics (05-XX) 83 Convex and discrete geometry (52-XX) 69 Statistical mechanics, structure of matter (82-XX) 54 Probability theory and stochastic processes (60-XX) 34 Information and communication theory, circuits (94-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 27 Dynamical systems and ergodic theory (37-XX) 25 Group theory and generalizations (20-XX) 24 Manifolds and cell complexes (57-XX) 21 Special functions (33-XX) 17 Functions of a complex variable (30-XX) 17 Quantum theory (81-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Computer science (68-XX) 14 Operations research, mathematical programming (90-XX) 13 Topological groups, Lie groups (22-XX) 13 Numerical analysis (65-XX) 12 Field theory and polynomials (12-XX) 11 Associative rings and algebras (16-XX) 9 Commutative algebra (13-XX) 9 Geometry (51-XX) 8 Nonassociative rings and algebras (17-XX) 8 Ordinary differential equations (34-XX) 7 Approximations and expansions (41-XX) 7 Differential geometry (53-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Partial differential equations (35-XX) 5 Sequences, series, summability (40-XX) 4 Real functions (26-XX) 4 Potential theory (31-XX) 4 Relativity and gravitational theory (83-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 $$K$$-theory (19-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Mathematics education (97-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.