Topic · Meromorphic and Entire Functions
Most cited papers in Meromorphic and Entire Functions
What are the most cited papers in Meromorphic and Entire Functions?
The most cited paper in Meromorphic and Entire Functions is "Existence of minimal models for varieties of log general type" (Caucher Birkar, Paolo Cascini, Christopher D. Hacon et al., 2009), with 1,375 citations. Next come "Theory of Functions of a Complex Variable" (1,243) and "Meromorphic Functions" (1,219).
Showing 50 of 99 papers. Every paper with more than 159 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Existence of minimal models for varieties of log general type Caucher Birkar, Paolo Cascini, Christopher D. Hacon et al. · Journal of the American Mathematical Society | 13 Nov 2009 | 1,375 |
| 2 | Theory of Functions of a Complex Variable A. I. Markushevich, Richard A. Silverman, James T. Gillis · Physics Today | Jun 1966 | 1,243 |
| 3 | Meromorphic Functions Walter Kurt Hayman, Eleanor F. Lingham · Problem books in mathematics | 2019 | 1,219 |
| 4 | On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises Christophe Breuil, Brian Conrad, Fred Diamond et al. · Journal of the American Mathematical Society | 15 May 2001 | 791 |
| 5 | Elementary and Analytic Theory of Algebraic Numbers Peter Shiu, Władysław Narkiewicz · The Mathematical Gazette | Oct 1991 | 769 |
| 6 | The Bergman kernel and biholomorphic mappings of pseudoconvex domains Charles Fefferman · Inventiones mathematicae | Mar 1974 | 744 |
| 7 | Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis Hugh L. Montgomery · Regional conference series in mathematics | 11 Oct 1994 | 673 |
| 8 | On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane Yik‐Man Chiang, Shaoji Feng · The Ramanujan Journal | May 2008 | 665 |
| 9 | Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant Edward Bierstone · Inventiones mathematicae | Apr 1997 | 638 |
| 10 | Uniform distribution of eigenfunctions on compact hyperbolic surfaces Steven Zelditch · Duke Mathematical Journal | Dec 1987 | 578 |
| 11 | Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations Rod Halburd, Risto Korhonen · Journal of Mathematical Analysis and Applications | 15 May 2005 | 574 |
| 12 | Functions Starlike and Convex of Order α I. S. Jack · Journal of the London Mathematical Society | Apr 1971 | 494 |
| 13 | Repellers for real analytic maps David Pierre Ruelle · Ergodic Theory and Dynamical Systems | Mar 1982 | 471 |
| 14 | Introduction Richard R. Hall · Cambridge University Press eBooks | 10 Oct 1996 | 422 |
| 15 | The Betti numbers of the Hilbert scheme of points on a smooth projective surface Lothar Göttsche · Mathematische Annalen | Mar 1990 | 409 |
| 16 | Univalent and Starlike Generalized Hypergeometric Functions Shigeyoshi Owa, H. M. Srivastava · Canadian Journal of Mathematics | Oct 1987 | 398 |
| 17 | Monodromy for the hypergeometric function n F n ?1 Frits Beukers, Gerrit Heckman · Inventiones mathematicae | Jun 1989 | 380 |
| 18 | On the singularities of the inverse to a meromorphic function of finite order Walter Bergweiler, Alexandre Erëmenko · Revista Matemática Iberoamericana | 31 Aug 1995 | 378 |
| 19 | Normal families: New perspectives Lawrence Zalcman · Bulletin of the American Mathematical Society | 1998 | 367 |
| 20 | Rational points of bounded height on Fano varieties Jens Frankē, Yuri I. Manin, Yuri Tschinkel · Inventiones mathematicae | Jun 1989 | 367 |
| 21 | An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers Eugene Mikhailovich Matveev · Izvestiya Mathematics | 31 Aug 1998 | 366 |
| 22 | Tomato facultative parthenocarpy results from Sl AGAMOUS ‐ LIKE 6 loss of function Chen Klap, Ester Yeshayahou, Anthony Bolger et al. · Plant Biotechnology Journal | 16 Nov 2016 | 365 |
| 23 | Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates Gary G. Gundersen · Journal of the London Mathematical Society | Feb 1988 | 359 |
| 24 | On the Holomorphy of Certain Dirichlet Series Goro Shimura · Proceedings of the London Mathematical Society | Jul 1975 | 355 |
| 25 | Modular Equations and Approximations to π Lennart Berggren, Jonathan Michael Borwein, Peter Borwein | 2000 | 351 |
| 26 | Limit linear series: Basic theory David Eisenbud, Joe Harris · Inventiones mathematicae | Jun 1986 | 331 |
| 27 | Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation N. D. Hayes · Journal of the London Mathematical Society | Jul 1950 | 331 |
| 28 | Extremal polynomials associated with a system of curves in the complex plane Harold Widom · Advances in Mathematics | Apr 1969 | 329 |
| 29 | The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups Hyman E. Bass · Proceedings of the London Mathematical Society | Nov 1972 | 301 |
| 30 | Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections Raoul Bott, Shiing-Shen Chern · Acta Mathematica | 1965 | 297 |
| 31 | TWO RECURSIVELY ENUMERABLE SETS OF INCOMPARABLE DEGREES OF UNSOLVABILITY (SOLUTION OF POST'S PROBLEM, 1944) Richard M. Friedberg · Proceedings of the National Academy of Sciences | 15 Feb 1957 | 297 |
| 32 | On the projective normality of complete linear series on an algebraic curve Mark Alan Green, Robert Lazarsfeld · Inventiones mathematicae | Feb 1986 | 291 |
| 33 | Integration operators on Bergman spaces Alexandru Aleman, Aristomenis G. Siskakis · Indiana University Mathematics Journal | 1997 | 286 |
| 34 | Weighted value sharing and uniqueness of meromorphic functions Indrajit Lahiri · Complex Variables Theory and Application An International Journal | Nov 2001 | 286 |
| 35 | Normal families of holomorphic mappings H. Wu · Acta Mathematica | 1967 | 277 |
| 36 | Some results on difference polynomials sharing values Yong Liu, Xiaoguang Qi, Hong‐Xun Yi · Advances in Difference Equations | 5 Jan 2012 | 275 |
| 37 | Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces Barbara D. MacCluer, Joel H. Shapiro · Canadian Journal of Mathematics | Aug 1986 | 272 |
| 38 | Liouvillian first integrals of differential equations Michael F. Singer · Transactions of the American Mathematical Society | 1992 | 271 |
| 39 | Function spaces and reproducing kernels on bounded symmetric domains Jacques Faraut, Adam Korányi · Journal of Functional Analysis | 1990 | 264 |
| 40 | Weighted sharing and uniqueness of meromorphic functions Indrajit Lahiri · Nagoya Mathematical Journal | Mar 2001 | 264 |
| 41 | Holomorphic curves with shift-invariant hyperplane preimages Rodney G. Halburd, Risto Korhonen, Kazuya Tohge · Transactions of the American Mathematical Society | 24 Mar 2014 | 251 |
| 42 | The rationality of the Poincar� series associated to thep-adic points on a variety Jan Denef · Inventiones mathematicae | Feb 1984 | 251 |
| 43 | p-AdicL-functions for CM fields Nicholas M. Katz · Inventiones mathematicae | Sep 1978 | 247 |
| 44 | On Integral and Meromorphic Functions James G. Clunie · Journal of the London Mathematical Society | 1962 | 246 |
| 45 | The Convergence of Padé Approximants to Functions with Branch Points Herbert Stahl · Journal of Approximation Theory | Nov 1997 | 244 |
| 46 | Forms in many variables B. J. Birch · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 23 Jan 1962 | 240 |
| 47 | Stratifications de Whitney et théorème de Bertini-Sard Jean-Louis Verdier · Inventiones mathematicae | Dec 1976 | 235 |
| 48 | Uniform asymptotic expansions of integrals with stationary point near algebraic singularity Norman Bleistein · Communications on Pure and Applied Mathematics | Nov 1966 | 229 |
| 49 | The density of integer points on homogeneous varieties Wolfgang M. Schmidt · Acta Mathematica | 1985 | 229 |
| 50 | Composition Operators Eric Nordgren · Canadian Journal of Mathematics | 1968 | 226 |
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.