Keyword

automorphic forms

Description: A class of complex functions with symmetry properties under group actions, generalizing periodic functions in number theory and geometry.

Primary topic: Advanced Algebra and Geometry (76%)

Wikidata ID: wiki/Q1134435

OpenAlex ID: keywords/automorphic-forms

Sphere Packings, Lattices and Groups

1999 · J. H. Conway, N. J. A. Sloane · Grundlehren der mathematischen Wissenschaften · 2,307

Introduction to the Arithmetic Theory of Automorphic Functions

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

Discrete Subgroups of Semisimple Lie Groups

1991 · Gregori Aleksandrovitch Margulis · Springer eBooks · 1,193

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

2000 · A. Borel, N. Wallach · Mathematical surveys and monographs · 1,132

Discrete Subgroups of Lie Groups

1972 · M. S. Raghunathan · Springer eBooks · 1,092

Automorphic Forms on GL (2)

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

Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series

1956 · Atle Selberg · Journal of the Indian Mathematical Society · 955

Topics in Classical Automorphic Forms

1997 · Henryk Iwaniec · Graduate studies in mathematics · 874

The Selberg Trace Formula for PSL(2,ℝ)

1983 · Dennis A. Hejhal · Lecture notes in mathematics · 813

Arithmetic Subgroups of Algebraic Groups

1962 · Armand Borel, Harish-Chandra · Annals of Mathematics · 696

Functoriality for the exterior square of GL₄ and the symmetric fourth of GL₂

2002 · Henry Kim · Journal of the American Mathematical Society · 690

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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

On Whittaker vectors and representation theory

1978 · Bertram Kostant · Inventiones mathematicae · 593

Reductive groups over local fields

1979 · J. Tits · Proceedings of symposia in pure mathematics · 592

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

Spectral Methods of Automorphic Forms

2002 · Henryk Iwaniec · Graduate studies in mathematics · 557

Automorphic forms and representations

1997 · Choice Reviews Online · 491

Discontinuous Groups and Automorphic Functions

1964 · Joseph Lehner · Mathematical surveys and monographs · 475

Elliptic Genera of Symmetric Products and Second Quantized Strings

1997 · Robbert Dijkgraaf, Gregory Moore, et al. · Communications in Mathematical Physics · 470

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Modular Forms and Functions

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

Introduction to Modular Forms

1987 · Serge Lang · Grundlehren der mathematischen Wissenschaften · 406

The Ihara-selberg Zeta Function of a Tree Lattice

1992 · HYMAN BASS · International Journal of Mathematics · 404

On the classification of irreducible representations of real algebraic groups

1989 · R. Langlands · Mathematical surveys and monographs · 398

Works count: 8,952

Citation count: 103,200