Keyword

modular functions

Description: Complex functions with specified transformation properties under modular groups, studied in number theory and the theory of modular forms.

Primary topic: Advanced Mathematical Identities (30%)

OpenAlex ID: keywords/modular-functions

Advanced Topics in the Arithmetic of Elliptic Curves

1994 · Joseph H. Silverman · Graduate texts in mathematics · 1,634

Functions of One Complex Variable

1973 · John B. Conway · Graduate texts in mathematics · 1,119

Sur certains groupes d'opérateurs unitaires

1964 · André Weil · Acta Mathematica · 1,062

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Modular Functions and Dirichlet Series in Number Theory

1990 · Tom M. Apostol · Graduate texts in mathematics · 969

Elements of the Theory of Elliptic Functions

1990 · N. Akhiezer · Translations of mathematical monographs · 734

Modular Functions and Dirichlet Series in Number Theory

1976 · Tom M. Apostol · Graduate texts in mathematics · 435

Monstrous Moonshine

1979 · J. H. Conway, S. P. Norton · Bulletin of the London Mathematical Society · 427

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Elliptic Functions

1987 · Serge Lang · Graduate texts in mathematics · 421

Elliptic Modular Functions

1974 · Bruno Schoeneberg · Springer eBooks · 408

Introduction to Modular Forms

1987 · Serge Lang · Grundlehren der mathematischen Wissenschaften · 406

Primes of the form x2 + ny2: Fermat, class field theory, and complex multiplication

1990 · Choice Reviews Online · 377

Introduction to Elliptic Curves and Modular Forms

1984 · Neal Koblitz · Graduate texts in mathematics · 364

Modular Equations and Approximations to π

2000 · Lennart Berggren, Jonathan Borwein, et al. · Springer eBooks · 344

Modular Forms

1989 · Toshitsune Miyake · Springer monographs in mathematics · 320

Automorphic Functions.

1930 · Fred W. Perkins, Lester R. Ford · American Mathematical Monthly · 301

Modular Functions of One Variable III

1973 · Kuijk, Willem, Serre, Jean-Pierre · Lecture notes in mathematics · 297

Siegelsche Modulfunktionen

1983 · Eberhard Freitag · Grundlehren der mathematischen Wissenschaften · 279

Complex multiplication of Abelian varieties and its applications to number theory

1961 · 五郎志村, 豊谷山 · Mathematical Society of Japan eBooks · 274

Modular functions in analytic number theory

1970 · Marvin I. Knopp · 255

?u=e u und die automorphen Funktionen

1916 · Ludwig Bieberbach · Mathematische Annalen · 250

Collected papers of Srinivasa Ramanujan

1928 · Notes and Queries · 237

On R4 threshold corrections in type IIB string theory and (p, q)-string instantons

1997 · Elias Kiritsis, Boris Pioline · Nuclear Physics B · 228

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Elliptic Functions

1985 · Komaravolu Chandrasekharan · Grundlehren der mathematischen Wissenschaften · 225

Neutrino mixing from finite modular groups

2018 · Tatsuo Kobayashi, Kentaro Tanaka, et al. · Physical review. D/Physical review. D. · 221

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Exactly solvable SOS models

1987 · E. Date, M. Jimbo, et al. · Nuclear Physics B · 220

Works count: 2,704

Citation count: 31,960