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Most cited papers in Mathematics and Applications

What are the most cited papers in Mathematics and Applications?

The most cited paper in Mathematics and Applications is "LOSS OF RECENT MEMORY AFTER BILATERAL HIPPOCAMPAL LESIONS" (William Beecher Scoville, Brenda Atkinson Milner, 1957), with 7,447 citations. Next come "A Course in Functional Analysis." (2,360) and "Calibrated geometries" (1,721).

Showing 50 of 100 papers. Every paper with more than 383 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 LOSS OF RECENT MEMORY AFTER BILATERAL HIPPOCAMPAL LESIONS William Beecher Scoville, Brenda Atkinson Milner · Journal of Neurology Neurosurgery & Psychiatry Open access Feb 1957 7,447
2 A Course in Functional Analysis. Theodore W. Gamelin, John B. Conway · American Mathematical Monthly Nov 1986 2,360
3 Calibrated geometries Reese Harvey, H. Blaine Lawson · Acta Mathematica Open access 1982 1,721
4 On the foundations of combinatorial theory I. Theory of M�bius Functions Gian Carlo Rota · Probability Theory and Related Fields Open access 1964 1,501
5 On the method of bounded differences Colin McDiarmid · Cambridge University Press eBooks Book chapter 3 Aug 1989 1,466
6 ELEMENTS OF ALGEBRAIC TOPOLOGY Kazimierz Kuratowski · Elsevier eBooks Book chapter 1972 1,304
7 Mathematical problems for the next century Steve Smale · The Mathematical Intelligencer Mar 1998 1,261
8 Theory of Functions of a Complex Variable A. I. Markushevich, Richard A. Silverman, James T. Gillis · Physics Today Jun 1966 1,243
9 Computing the distribution of quadratic forms in normal variables J. P. Imhof · Biometrika Open access 1961 1,156
10 A QUANTITATIVE ANALYSIS OF PLANT FORM-THE PIPE MODEL THEORY : I.BASIC ANALYSES Kichiro Shinozaki, Kyoji Yoda, Kazuo Hozumi et al. · Nihon Seitai Gakkaishi Open access Jun 1964 1,146
11 Quaternions and matrices of quaternions Fuzhen Zhang · Linear Algebra and its Applications Open access 1997 1,124
12 Conjectures and Refutations Karl Raimund Popper, George Elford Hudson · Physics Today Nov 1963 1,040
13 A proof of the Kepler conjecture Thomas Hales · Annals of Mathematics Nov 2005 1,011
14 KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS Peter A. Goddard, DAVID OLIVE · International Journal of Modern Physics A Jul 1986 981
15 The Umbral Calculus Steven Roman, Gian-Carlo Rota · Graduate texts in mathematics Book chapterOpen access Feb 1978 969
16 The Brunn-Minkowski inequality Richard J. Gardner · Bulletin of the American Mathematical Society Open access 8 Apr 2002 940
17 Spin- s Spherical Harmonics and ð Joshua N. Goldberg, Alan J.R. Macfarlane, Ezra Ted Newman et al. · Journal of Mathematical Physics Nov 1967 891
18 The geometry of optimal transportation Wilfrid Gangbo, Robert J. McCann · Acta Mathematica Open access 1996 871
19 On Grouping for Maximum Homogeneity Walter D. Fisher · Journal of the American Statistical Association Dec 1958 787
20 Complexity of the mover's problem and generalizations John H. Reif Conference paperOpen access Oct 1979 774
21 THE RETICULAR FORMATION REVISITED I. CALMA. M.D. Milan. · Developmental Medicine & Child Neurology Jun 1959 743
22 The Brunn-Minkowski inequality in Gauss space Christer Borell · Inventiones mathematicae Jun 1975 731
23 Commuting Mappings and Fixed Points Gerald F. Jungck · American Mathematical Monthly Apr 1976 704
24 Semianalytic and subanalytic sets Edward Bierstone, Pierre D. Milman · Publications mathématiques de l IHÉS 7 Jan 1988 702
25 An excursion into large rotations John Argyris · Computer Methods in Applied Mechanics and Engineering Sep 1982 702
26 A Census of Planar Maps W. T. Tutte · Canadian Journal of Mathematics Open access 1963 696
27 Notes on non-commutative integration EDWARD B. NELSON · Journal of Functional Analysis Open access Feb 1974 677
28 Corners and arithmetic groups Armand Borel, J-P. Serre · Commentarii Mathematici Helvetici Dec 1973 664
29 Geometry of Numbers Peter M. Gruber · Birkhäuser Basel eBooks Book chapter 1979 649
30 Combinatorics and topology of complements of hyperplanes Peter Orlik, Louis P. Solomon · Inventiones mathematicae Feb 1980 635
31 On Certain Sets of Integers K. F. Roth · Journal of the London Mathematical Society 1953 623
32 Number Theory 1: Fermat's Dream Kazuya Kato, Nobushige Kurokawa, Takeshi Saito · International Linear Collider 2000 616
33 A combinatorial theorem in plane geometry Vašek Chvátal · Journal of Combinatorial Theory Series B Open access Feb 1975 615
34 An Introduction to the Theory of Point Processes. Alan F. Karr, D. J. Daley, D. Vere-Jones · Journal of the American Statistical Association Open access Mar 1990 600
35 On Fixed and Periodic Points Under Contractive Mappings Michael L. Edelstein · Journal of the London Mathematical Society 1962 596
36 Another Report on Harmonic Maps J. Eells, L. Lemaire · Bulletin of the London Mathematical Society Sep 1988 596
37 On Formally Undecidable Propositions of Principia Mathematica and Related Systems Kurt Gödel, Bernard D. Meltzer, Richard Schlegel · Physics Today 1964 588
38 Asymptotic Expansions Leo Moser, Max D. Wyman · Canadian Journal of Mathematics Open access 1956 587
39 A Census of Planar Triangulations W. T. Tutte · Canadian Journal of Mathematics Open access 1962 586
40 Equivariant K -theory Graeme B. Segal · Publications mathématiques de l IHÉS 7 Jan 1968 583
41 Quasi-conformal mappings in n -space and the rigidity of hyperbolic space forms George Daniel Mostow · Publications mathématiques de l IHÉS 7 Jan 1968 514
42 A nullstellensatz and a positivstellensatz in semialgebraic geometry Gilbert Stengle · Mathematische Annalen Jun 1974 510
43 The Genus of Embedded Surfaces in the Projective Plane P. B. Kronheimer, Tomasz Mrowka · Mathematical Research Letters Open access 1994 498
44 Totally positive matrices T. Andô · Linear Algebra and its Applications Open access May 1987 496
45 Rotation for Simple Loadings Robert I. Jennrich, P. F. Sampson · Psychometrika Sep 1966 494
46 The Honeycomb Conjecture Thomas Hales · Discrete & Computational Geometry Open access 2001 478
47 Introduction to General Relativity Ronald S. Adler, Maurice Bazin, Menahem Schiffer et al. · American Journal of Physics Mar 1966 471
48 Central elements in core-free groups George Glauberman · Journal of Algebra Open access Nov 1966 469
49 Multiplicative calculus and its applications Agamirza E. Bashirov, Emine Mısırlı Kurpınar, Ali Özyapıcı · Journal of Mathematical Analysis and Applications Open access 6 Apr 2007 463
50 Location of Polygenes John Marion Thoday · Nature Jul 1961 457

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.