Most cited papers in Advanced Mathematical Theories and Applications
What are the most cited papers in Advanced Mathematical Theories and Applications?
The most cited paper in Advanced Mathematical Theories and Applications is "On the Einstein Podolsky Rosen paradox" (James S. Bell, 1964), with 12,389 citations. Next come "Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics" (3,599) and "The statistics of peaks of Gaussian random fields" (3,313).
Showing 50 of 100 papers. Every paper with more than 311 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | On the Einstein Podolsky Rosen paradox James S. Bell · Physics Physique Fizika | Nov 1964 | 12,389 |
| 2 | Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics R. P. Kerr · Physical Review Letters | Sep 1963 | 3,599 |
| 3 | The statistics of peaks of Gaussian random fields J. Bardeen, J. Richard Bond, N. Kaiser et al. · The Astrophysical Journal | May 1986 | 3,313 |
| 4 | Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity Steven Weinberg, Robert V. Wagoner · Physics Today | Jun 1973 | 3,141 |
| 5 | Speakable and Unspeakable in Quatum Mechanics J. S. Bell, N. David Mermin · Physics Today | Oct 1988 | 3,066 |
| 6 | The Einstein Tensor and Its Generalizations David Lovelock · Journal of Mathematical Physics | Mar 1971 | 2,987 |
| 7 | Relaxation processes in supercooled liquids WOLFGANG GÖTZE, Lennart Sjögren · Reports on Progress in Physics | Mar 1992 | 2,869 |
| 8 | Diamagnetic Corrections and Pascal's Constants Gordon A. Bain, John F. Berry · Journal of Chemical Education | Apr 2008 | 2,739 |
| 9 | Republication of: The dynamics of general relativity R. Arnowitt, S. Deser, Charles W. Misner · General Relativity and Gravitation | 7 Aug 2008 | 2,312 |
| 10 | Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm Joseph Hoshen, R. Kopelman · Physical review. B, Solid state | 15 Oct 1976 | 1,935 |
| 11 | General relativity without coordinates T. Regge · Il Nuovo Cimento | Feb 1961 | 1,504 |
| 12 | On the foundations of combinatorial theory I. Theory of M�bius Functions Gian Carlo Rota · Probability Theory and Related Fields | 1964 | 1,501 |
| 13 | Random packings and the structure of simple liquids. I. The geometry of random close packing John Finney · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 10 Nov 1970 | 1,468 |
| 14 | Role of surface integrals in the Hamiltonian formulation of general relativity T. Regge, Claudio Teitelboim · Annals of Physics | Nov 1974 | 1,468 |
| 15 | Role of Conformal Three-Geometry in the Dynamics of Gravitation James W. York · Physical Review Letters | 17 Apr 1972 | 1,426 |
| 16 | Relativistic Cosmology. I Amalkumar Raychaudhuri · Physical Review | 15 May 1955 | 1,356 |
| 17 | Toeplitz and Circulant Matrices: A Review Robert M. Gray · Foundations and Trends® in Communications and Information Theory | 10 Jan 2006 | 1,274 |
| 18 | Mathematical problems for the next century Steve Smale · The Mathematical Intelligencer | Mar 1998 | 1,261 |
| 19 | Chemistry in noninteger dimensions between two and three. I. Fractal theory of heterogeneous surfaces Peter M. Pfeifer, David Avnir · The Journal of Chemical Physics | Oct 1983 | 1,200 |
| 20 | DECLARATION OF ALMA-ATA N. R. E. Fendall · The Lancet | Dec 1978 | 1,092 |
| 21 | Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results Guy Jumarie · Computers & Mathematics with Applications | May 2006 | 1,084 |
| 22 | A proof of the Kepler conjecture Thomas Hales · Annals of Mathematics | Nov 2005 | 1,011 |
| 23 | Proof of the positive mass theorem. II Richard Schoen, Shing-Tung Yau · Communications in Mathematical Physics | Mar 1981 | 828 |
| 24 | On the Weierstrass-Mandelbrot fractal function Michael Victor Berry, Z. V. Lewis, John Frederick Nye · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 24 Apr 1980 | 813 |
| 25 | Matrices with Applications in Statistics. G. E. Thomas, Franklin A. Graybill · Journal of the Royal Statistical Society Series A (General) | 1984 | 745 |
| 26 | Models of the Small World Mark E. J. Newman · Journal of Statistical Physics | Nov 2000 | 722 |
| 27 | Minimal Length Scale Scenarios for Quantum Gravity Sabine Hossenfelder · Living Reviews in Relativity | 29 Jan 2013 | 717 |
| 28 | Area-Perimeter Relation for Rain and Cloud Areas S. Lovejoy · Science | 9 Apr 1982 | 709 |
| 29 | Applications of the Theory of Matrices Felix R. Gantmacher, Joel L. Brenner, D. W. Bushaw et al. · Physics Today | Oct 1960 | 701 |
| 30 | Loop Quantum Gravity Carlo Rovelli · Living Reviews in Relativity | 26 Jan 1998 | 695 |
| 31 | On orthogonal polynomials E.I. Jury, Seoiyoung Ahn · Journal of the Franklin Institute | Sep 1975 | 695 |
| 32 | The Four-Dimensionality of Space and the Einstein Tensor David Lovelock · Journal of Mathematical Physics | Jun 1972 | 692 |
| 33 | Second quantization representation for classical many-particle system Masao Doi · Journal of Physics A Mathematical and General | Sep 1976 | 689 |
| 34 | SPECIAL FUNCTIONS (Encyclopedia of Mathematics and its Applications 71) Frits Beukers · Bulletin of the London Mathematical Society | 2001 | 688 |
| 35 | The Intrinsic Parity of Elementary Particles G. C. Wick, Arthur S. Wightman, Eugene Paul Wigner · Physical Review | Oct 1952 | 669 |
| 36 | Quantized Fields and Particle Creation in Expanding Universes. II Leonard Parker · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 Jan 1971 | 653 |
| 37 | Adsorption of n-alkanes at zero surface coverage on cellulose paper and wood fibers Gilles M. Dorris, Derek G. Gray · Journal of Colloid and Interface Science | Oct 1980 | 649 |
| 38 | A review of E infinity theory and the mass spectrum of high energy particle physics Μ.S. El Naschie · Chaos Solitons & Fractals | 16 Jul 2003 | 636 |
| 39 | Planck2013 results. XX. Cosmology from Sunyaev–Zeldovich cluster counts Peter A. R. Ade et al. · Astronomy and Astrophysics | 7 Feb 2014 | 634 |
| 40 | Noncommutative Symmetrical Functions Israel M. Gelfand, D. Krob, Alain Lascoux et al. · Advances in Mathematics | May 1995 | 593 |
| 41 | Fluctuations at the Threshold of Classical Cosmology E. R. Harrison · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 May 1970 | 579 |
| 42 | The statistical mechanics of polymerized material Sam F Edwards · Proceedings of the Physical Society | Sep 1967 | 577 |
| 43 | The beauty of fractals: images of complex dynamical systems Heinz‐Otto Peitgen, Peter Hinnerk Richter · CERN Document Server (European Organization for Nuclear Research) | 1986 | 573 |
| 44 | Planck 2013 results. XXIII. Isotropy and statistics of the CMB Peter A. R. Ade et al. · Astronomy and Astrophysics | 24 Jan 2014 | 572 |
| 45 | Parity Nonconservation and a Two-Component Theory of the Neutrino T. D. Lee, C. N. Yang · Physical Review | Mar 1957 | 550 |
| 46 | A Tutorial Review on Fractal Spacetime and Fractional Calculus Ji‐Huan He · International Journal of Theoretical Physics | 24 Jun 2014 | 531 |
| 47 | Statistical mechanics. Principles and selected applications Erik Klokholm · Journal of the Franklin Institute | Mar 1957 | 522 |
| 48 | Fractal calculus and its geometrical explanation Ji‐Huan He · Results in Physics | 15 Jun 2018 | 521 |
| 49 | Loop Quantum Cosmology Martin Bojowald · Living Reviews in Relativity | Dec 2005 | 504 |
| 50 | Reflections on the Fate of Spacetime Edward H. Witten · Physics Today | Apr 1996 | 502 |
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.