Subfield · Algebra and Number Theory
Most cited papers in Algebra and Number Theory
What are the most cited papers in Algebra and Number Theory?
The most cited paper in Algebra and Number Theory is "The Magma Algebra System I: The User Language" (Wieb Bosma, John Cannon, Catherine Playoust, 1997), with 7,465 citations. Next come "Table of Integrals, Series, and Products" (4,749) and "Factoring polynomials with rational coefficients" (4,058).
Showing 50 of 100 papers. Every paper with more than 707 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | The Magma Algebra System I: The User Language Wieb Bosma, John Cannon, Catherine Playoust · Journal of Symbolic Computation | Sep 1997 | 7,465 |
| 2 | Table of Integrals, Series, and Products I. S. Gradshteyn, I.M. RYZHIK, D. F. Hays · Journal of Lubrication Technology | Jul 1976 | 4,749 |
| 3 | Factoring polynomials with rational coefficients A. K. Lenstra, Hendrik W. Lenstra, László Lovász · Mathematische Annalen | Dec 1982 | 4,058 |
| 4 | Completely positive linear maps on complex matrices Man-Duen Choi · Linear Algebra and its Applications | Jun 1975 | 2,767 |
| 5 | Aq-difference analogue of U(g) and the Yang-Baxter equation Michio Jimbo · Letters in Mathematical Physics | Jul 1985 | 2,665 |
| 6 | Hopf Algebras and Their Actions on Rings Susan Montgomery · Regional conference series in mathematics | 28 Oct 1993 | 2,592 |
| 7 | Deformation Quantization of Poisson Manifolds Maxim L'vovich Kontsevich · Letters in Mathematical Physics | Dec 2003 | 2,463 |
| 8 | Rings of Continuous Functions. Edgar R. Lorch, Leonard Gillman, Meyer Jerison · American Mathematical Monthly | May 1961 | 2,342 |
| 9 | Mean value methods in iteration W. Robert Mann · Proceedings of the American Mathematical Society | Jun 1953 | 2,327 |
| 10 | Algebraic number theory Kazuya Katô, Nobushige Kurokawa, Takeshi Saito · Translations of mathematical monographs | 22 Nov 1999 | 2,174 |
| 11 | Higher algebraic K-theory: I Daniel G. Quillen · Lecture notes in mathematics | 1973 | 1,984 |
| 12 | Lie superalgebras Victor Gershevich Kac · Advances in Mathematics | Oct 1977 | 1,890 |
| 13 | Current algebra and Wess-Zumino model in two dimensions V.G. Knizhnik, A. B. Zamolodchikov · Nuclear Physics B | Dec 1984 | 1,861 |
| 14 | On Ideal Lattices and Learning with Errors over Rings Vadim Lyubashevsky, Chris Peikert, Oded Regev · Lecture notes in computer science | 2010 | 1,835 |
| 15 | Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) Milton Abramowitz, Irene A. Stegun, David S. Miller · Journal of Applied Mechanics | Mar 1965 | 1,767 |
| 16 | Cluster algebras I: Foundations Sergey Fomin, Andrei V. Zelevinsky · Journal of the American Mathematical Society | 28 Dec 2001 | 1,745 |
| 17 | The “transition probability” in the state space of a ∗-algebra Armin Uhlmann · Reports on Mathematical Physics | Apr 1976 | 1,691 |
| 18 | Computing Persistent Homology Afra Zomorodian, Gunnar Carlsson · Discrete & Computational Geometry | 19 Nov 2004 | 1,651 |
| 19 | Approximate formulas for some functions of prime numbers J. Barkley Rosser, Lowell Schoenfeld · Illinois Journal of Mathematics | Mar 1962 | 1,606 |
| 20 | Intersection theory on the moduli space of curves and the matrix airy function Maxim L'vovich Kontsevich · Communications in Mathematical Physics | Jun 1992 | 1,600 |
| 21 | Linear transformations which preserve trace and positive semidefiniteness of operators Andrzej Jamiołkowski · Reports on Mathematical Physics | Dec 1972 | 1,588 |
| 22 | On q-analogues of the quantum harmonic oscillator and the quantum group SU(2) q Alan Macfarlane · Journal of Physics A Mathematical and General | 7 Nov 1989 | 1,586 |
| 23 | The quantum group SU q (2) and a q-analogue of the boson operators Lawrence C. Biedenharn · Journal of Physics A Mathematical and General | 21 Sep 1989 | 1,528 |
| 24 | Deformation theory and quantization. I. Deformations of symplectic structures F. Bayen, Mosh� Flato, Christian Frønsdal et al. · Annals of Physics | Mar 1978 | 1,517 |
| 25 | A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation Michio Jimbo · Letters in Mathematical Physics | Apr 1986 | 1,502 |
| 26 | Planar diagrams E. Brézin, C. Itzykson, Giorgio Parisi et al. · Communications in Mathematical Physics | Feb 1978 | 1,483 |
| 27 | Solitons and Infinite Dimensional Lie Algebras Michio Jimbo, Tetsuji Miwa · Publications of the Research Institute for Mathematical Sciences | 31 Dec 1983 | 1,476 |
| 28 | Gauge algebra and quantization Igor Anatol'evich Batalin, G. A. Vilkovisky · Physics Letters B | Jun 1981 | 1,465 |
| 29 | Boundary conditions, fusion rules and the Verlinde formula John Cardy · Nuclear Physics B | Oct 1989 | 1,379 |
| 30 | Classical and quantum conformal field theory Gregory Moore, Nathan Seiberg · Communications in Mathematical Physics | Jun 1989 | 1,376 |
| 31 | The Zero-Divisor Graph of a Commutative Ring David F. Anderson, Philip S. Livingston · Journal of Algebra | Jul 1999 | 1,350 |
| 32 | SimpleC*-algebra generated by isometries Joachim Cuntz · Communications in Mathematical Physics | Jun 1977 | 1,291 |
| 33 | Non-commutative differential geometry Alain Connes · Publications mathématiques de l IHÉS | 7 Dec 1985 | 1,272 |
| 34 | Coloring of commutative rings István Beck · Journal of Algebra | Jul 1988 | 1,234 |
| 35 | A Probabilistic Proof of an Asymptotic Formula for the Number of Labelled Regular Graphs Béla Bollobás · European Journal of Combinatorics | Dec 1980 | 1,208 |
| 36 | Supergravity Peter van Nieuwenhuizen · Physics Reports | Feb 1981 | 1,207 |
| 37 | Subalgebras of C*-algebras William Arveson · Acta Mathematica | 1969 | 1,177 |
| 38 | The diamond lemma for ring theory George M. Bergman · Advances in Mathematics | Feb 1978 | 1,174 |
| 39 | HARMONIC POLYLOGARITHMS Ettore Remiddi, J. A. M. Vermaseren · International Journal of Modern Physics A | 20 Feb 2000 | 1,159 |
| 40 | The moment map and equivariant cohomology Michael Francis Atiyah, R. Bott · Topology | 1984 | 1,140 |
| 41 | Differential calculus on compact matrix pseudogroups (quantum groups) Stanisław Lech Woronowicz · Communications in Mathematical Physics | Mar 1989 | 1,137 |
| 42 | Probabilistic algorithms for sparse polynomials Richard E. Zippel · Lecture notes in computer science | 1979 | 1,134 |
| 43 | Gauge symmetry and supersymmetry of multiple M2-branes Jonathan Bagger, Neil Lambert · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 7 Mar 2008 | 1,132 |
| 44 | Modular invariance of characters of vertex operator algebras Yongchang Zhu · Journal of the American Mathematical Society | 1996 | 1,119 |
| 45 | FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES F. William Lawvere · Proceedings of the National Academy of Sciences | Nov 1963 | 1,079 |
| 46 | Groupes réductifs sur un corps local : I. Données radicielles valuées François Bruhat, Jacques Tits · Publications mathématiques de l IHÉS | 7 Dec 1972 | 1,043 |
| 47 | An approximation of partial sums of independent RV's, and the sample DF. II J. Koml�s, Péter Major, G. Tusn�dy · Probability Theory and Related Fields | 1976 | 1,025 |
| 48 | Categories and cohomology theories Graeme B. Segal · Topology | Sep 1974 | 1,022 |
| 49 | Koszul Duality Patterns in Representation Theory Alexander Beilinson, Victor Ginzburg, Wolfgang Soergel · Journal of the American Mathematical Society | 1996 | 1,016 |
| 50 | Unitary representations of the Virasoro and super-Virasoro algebras Peter A. Goddard, Adrian Kent, D. Olive · Communications in Mathematical Physics | Mar 1986 | 988 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.