Keyword

modular forms

Description: Holomorphic or meromorphic functions on the upper half-plane that transform in a prescribed way under a modular group, studied in number theory.

Primary topic: Advanced Algebra and Geometry (39%)

Wikidata ID: wiki/Q870797

OpenAlex ID: keywords/modular-forms

Algebraic number theory

1999 · Kato, Kazuya, Kurokawa, Nobushige, et al. · Translations of mathematical monographs · 2,093

Introduction to the Arithmetic Theory of Automorphic Functions

1972 · Marvin Tretkoff, Goro Shimura · Mathematics of Computation · 2,008

A Course in Arithmetic

1973 · Jean-Pierre Serre · Graduate texts in mathematics · 1,713

Ramanujan’s Notebooks: Part V

1997 · Bruce C. Berndt · 1,400

Automorphic Forms on GL (2)

1970 · H. Jacquet, R. P. Langlands · Lecture notes in mathematics · 1,083

Ring-Theoretic Properties of Certain Hecke Algebras

1995 · Richard Taylor, Andrew Wiles · Annals of Mathematics · 1,014

Introduction to Elliptic Curves and Modular Forms

1993 · Neal Koblitz · Graduate texts in mathematics · 969

Topics in Classical Automorphic Forms

1997 · Henryk Iwaniec · Graduate studies in mathematics · 874

Infinite-dimensional Lie algebras, theta functions and modular forms

1984 · Victor G Kač, Dale H Peterson · Advances in Mathematics · 696

Hecke operators on ?0(m)

1970 · A. O. L. Atkin, J. Lehner · Mathematische Annalen · 662

The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series

2003 · Ken Ono · Regional conference series in mathematics · 647

On the Functional Equations Satisfied by Eisenstein Series

1976 · Robert P. Langlands · Lecture notes in mathematics · 625

Rankin-Selberg Convolutions

1983 · H. Jacquet, I. I. Piatetskii-Shapiro, et al. · American Journal of Mathematics · 621

Representation theory and automorphic functions

1969 · М. И. Граев, Ilya Piatetski-Shapiro, et al. · Saunders eBooks · 580

Harmonic Analysis on Symmetric Spaces and Applications I

1985 · Audrey Terras · Springer eBooks · 565

Modular invariant partition functions in two dimensions

1987 · A. Cappelli, C. Itzykson, et al. · Nuclear Physics B · 541

Automorphic forms and representations

1997 · Choice Reviews Online · 491

On modular representations of $$(\bar Q/Q)$$ arising from modular forms

1990 · K. A. Ribet · Inventiones mathematicae · 478

Modular Forms and Functions

1977 · Robert A. Rankin · Cambridge University Press eBooks · 465

Formes modulaires de poids $1$

1974 · Pierre Deligne, Jean-Pierre Serre · Annales Scientifiques de l École Normale Supérieure · 462

A First Course in Modular Forms

2005 · Diamond, Fred, Shurman, Jerry · Springer eBooks · 436

Modular Functions and Dirichlet Series in Number Theory

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

Proof of the Deligne-Langlands conjecture for Hecke algebras

1987 · David Kazhdan, George Lusztig · Inventiones mathematicae · 434

On elliptic modular surfaces

1972 · Tetsuji SHIODA · Journal of the Mathematical Society of Japan · 415

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Elliptic Modular Functions

1974 · Bruno Schoeneberg · Springer eBooks · 408

Works count: 12,900

Citation count: 131,500