Topic · Advanced Mathematical Theories
Most cited papers in Advanced Mathematical Theories
What are the most cited papers in Advanced Mathematical Theories?
The most cited paper in Advanced Mathematical Theories is "Generalized Hypergeometric Functions" (Lucy Joan Slater, Werner C. Rheinboldt, 1967), with 1,659 citations. Next come "On the foundations of combinatorial theory I. Theory of M�bius Functions" (1,501) and "Mathematics and its applications" (1,491).
Showing 50 of 102 papers. Every paper with more than 112 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Generalized Hypergeometric Functions Lucy Joan Slater, Werner C. Rheinboldt · Physics Today | Mar 1967 | 1,659 |
| 2 | On the foundations of combinatorial theory I. Theory of M�bius Functions Gian Carlo Rota · Probability Theory and Related Fields | 1964 | 1,501 |
| 3 | Mathematics and its applications Shing Tung Yau | 24 Aug 2005 | 1,491 |
| 4 | Introduction to Percolation Theory N. Rivier · Physics Bulletin | Nov 1987 | 1,305 |
| 5 | Conjectures and Refutations Karl Raimund Popper, George Elford Hudson · Physics Today | Nov 1963 | 1,040 |
| 6 | Combinatorial Enumeration Robin Pemantle, Mark Curtis Wilson, Stephen Melczer · Cambridge University Press eBooks | 8 Feb 2024 | 977 |
| 7 | Area-Perimeter Relation for Rain and Cloud Areas S. Lovejoy · Science | 9 Apr 1982 | 709 |
| 8 | SPECIAL FUNCTIONS (Encyclopedia of Mathematics and its Applications 71) Frits Beukers · Bulletin of the London Mathematical Society | 2001 | 688 |
| 9 | Multiplicative Number Theory I: Classical Theory Hugh L. Montgomery, Robert Charles Vaughan · CERN Document Server (European Organization for Nuclear Research) | 2006 | 678 |
| 10 | Ordinary Differential Equations Serge Lang · Undergraduate texts in mathematics | 1983 | 659 |
| 11 | An Introduction to the Analysis of Algorithms Robert Sedgewick, Philippe Flajolet | 1995 | 604 |
| 12 | Tables of Higher Functions Jahnke-Emde-Lösch, Friedrich Lösch, A. A. Maradudin · Physics Today | Mar 1961 | 588 |
| 13 | Duality, quotients, and currents Martin Rocek, Erik Verlinde · Nuclear Physics B | Apr 1992 | 530 |
| 14 | Multiple harmonic series Michael E. Hoffman · Pacific Journal of Mathematics | Feb 1992 | 505 |
| 15 | An Atlas of Functions Jerome Spanier, Keith B. Oldham · CERN Document Server (European Organization for Nuclear Research) | 3 May 1996 | 467 |
| 16 | AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING Ji‐Huan He · International Journal of Modern Physics B | 20 Aug 2008 | 465 |
| 17 | Multiplicative calculus and its applications Agamirza E. Bashirov, Emine Mısırlı Kurpınar, Ali Özyapıcı · Journal of Mathematical Analysis and Applications | 6 Apr 2007 | 463 |
| 18 | NAKED SINGULARITIES Roger Penrose · Annals of the New York Academy of Sciences | Dec 1973 | 461 |
| 19 | Monstrous Moonshine John H. Conway, Simon Norton · Bulletin of the London Mathematical Society | Oct 1979 | 429 |
| 20 | Grammatical transformations and speed of understanding Philip B. Gough · Journal of Verbal Learning and Verbal Behavior | Apr 1965 | 420 |
| 21 | Conference Board of the Mathematical Sciences Leon W. Cohen · Science | 26 Apr 1963 | 419 |
| 22 | On similarity and entropy of neutrosophic sets Pinaki Majumdar, Syamal Kumar Samanta · Journal of Intelligent & Fuzzy Systems | 2014 | 405 |
| 23 | Cellular Geography Waldo Tobler | 1979 | 402 |
| 24 | Handbook of Mathematical Formulas and Integrals Alan Jeffrey, Robert H. Romer · American Journal of Physics | Mar 1996 | 402 |
| 25 | Airline Reservations Systems: Lessons From History Duncan G. Copeland, James L. McKenney · MIS Quarterly | Sep 1988 | 391 |
| 26 | Constructivity in Mathematics Douglas Bridges · CUBO, A Mathematical Journal | Mar 2004 | 372 |
| 27 | A better way to construct the sunflower head Helmut Vogel · Mathematical Biosciences | Jun 1979 | 367 |
| 28 | A Generalized Fibonacci Sequence Alwyn F. Horadam · American Mathematical Monthly | May 1961 | 364 |
| 29 | Maximal functions: Spherical means Elias M. Stein · Proceedings of the National Academy of Sciences | Jul 1976 | 356 |
| 30 | Combinatorial Commutative Algebra Irena V. Peeva, Volkmar Welker · Oberwolfach Reports | 30 Jun 2005 | 354 |
| 31 | Resolution of Singularities and Division of Distributions Michael Francis Atiyah · Communications on Pure and Applied Mathematics | Mar 1970 | 343 |
| 32 | The relativistic spherical top Andrew J. Hanson, T. Regge · Annals of Physics | Oct 1974 | 342 |
| 33 | E and M Murray R. Spiegel · Mathematics Magazine | May 1981 | 314 |
| 34 | Ultimate Temperature and the Early Universe Kerson Huang, Steven Weinberg · Physical Review Letters | 28 Sep 1970 | 311 |
| 35 | Stimulus and response generalization: Tests of a model relating generalization to distance in psychological space. Roger N. Shepard · Journal of Experimental Psychology | 1958 | 301 |
| 36 | Number Theoretic Background Andreas Knauf · Lecture notes in physics | 16 Jul 2007 | 278 |
| 37 | Cognitive Aspects of English Kin Terms A. Kimball Romney, Roy G. D’Andrade · American Anthropologist | Jun 1964 | 274 |
| 38 | The Elements of Integration and Lebesgue Measure. L. A. Baxter, Robert G. Bartle · Journal of the Royal Statistical Society Series D (The Statistician) | 1996 | 260 |
| 39 | Generalized Fibonacci Numbers and Associated Matrices E. P. Miles · American Mathematical Monthly | Oct 1960 | 256 |
| 40 | On sums and products of integers Péter L. Erdős, Endre Szemerédi · Birkhäuser Basel eBooks | 1983 | 241 |
| 41 | A Combinatorial Theorem P. Erdös, R. Rado · Journal of the London Mathematical Society | Oct 1950 | 240 |
| 42 | Catalan Numbers, Their Generalization, and Their Uses Peter Hilton, Jean J. Pedersen · The Mathematical Intelligencer | Mar 1991 | 239 |
| 43 | Geometry of Yang-Mills fields F. Atiyah · Lecture notes in physics | 6 Apr 2008 | 234 |
| 44 | ON THE COBAR CONSTRUCTION John Frank Adams · Proceedings of the National Academy of Sciences | Jul 1956 | 233 |
| 45 | Applied and computational complex analysis Evelyn Frank · Journal of the Franklin Institute | Oct 1980 | 225 |
| 46 | Fractal geometry: what is it, and what does it do? Benoît B. Mandelbrot · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 8 May 1989 | 224 |
| 47 | The k-Fibonacci sequence and the Pascal 2-triangle Sergio Falcón, Ángel Plaza · Chaos Solitons & Fractals | 29 Nov 2006 | 217 |
| 48 | The Meaning of Kinship Terms1 Anthony F. C. Wallace, John R. Atkins · American Anthropologist | Feb 1960 | 213 |
| 49 | On the Square Roots of Triangular Numbers Ajay Kumar Behera, G. K. Panda · The Fibonacci Quarterly | May 1999 | 209 |
| 50 | On Fibonacci Quaternions Serpil Halıcı · Advances in Applied Clifford Algebras | 16 Nov 2011 | 204 |
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.