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Keyword

L-functions

Description: L-functions are complex-valued functions arising in number theory that encode arithmetic information and are studied through their analytic properties.
Wikidata ID: wiki/Q1789063
OpenAlex ID: keywords/l-functions
Analytic Number Theory
2004 · Henryk Iwaniec, Emmanuel Kowalski · Colloquium Publications - American Mathematical Society/Colloquium Publications · 2,945
Basic Number Theory
1967 · André Weil · Springer eBooks · 1,223
Automorphic Forms on GL (2)
1970 · H. Jacquet, R. P. Langlands · Lecture notes in mathematics · 1,083
Rankin-Selberg Convolutions
1983 · H. Jacquet, I. I. Piatetskii-Shapiro, et al. · American Journal of Mathematics · 621
A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of -adic groups
1990 · Freydoon Shahidi · Annals of Mathematics · 569
Harmonic Analysis on Symmetric Spaces and Applications I
1985 · Audrey Terras · Springer eBooks · 565
On Certain L-Functions
1981 · Freydoon Shahidi · American Journal of Mathematics · 475
On Euler Products and the Classification of Automorphic Representations I
1981 · H. Jacquet, J. A. Shalika · American Journal of Mathematics · 460
Higher regulators and values of L-functions
1985 · A. A. Beilinson · Journal of Mathematical Sciences · 443
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
Sums involving the values at negative integers of L-functions of quadratic characters
1975 · Henri Cohen · Mathematische Annalen · 402
Integral moments of L-functions
2005 · J. B. Conrey, D. W. Farmer, et al. · Proceedings of the London Mathematical Society · 386
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Automorphic Forms and Representations
1997 · Daniel Bump · Cambridge University Press eBooks · 384
Automorphic Forms, Representations, and L-Functions
1979 · Armand Borel, W. Casselman · Medical Entomology and Zoology · 367
Random Matrix Theory and L-Functions at s = 1/2
2000 · J. P. Keating, N. C. Snaith · Communications in Mathematical Physics · 337
Elementary Theory of L-functions and Eisenstein Series
1993 · Haruzo Hida · Cambridge University Press eBooks · 335
The special values of the zeta functions associated with cusp forms
1976 · Goro Shimura · Communications on Pure and Applied Mathematics · 322
Modular Forms
1989 · Toshitsune Miyake · Springer monographs in mathematics · 320
Algebraic cycles and poles of zeta functions
1965 · John Tate · Medical Entomology and Zoology · 319
The special values of the zeta functions associated with Hilbert modular forms
1978 · Goro Shimura · Duke Mathematical Journal · 317
Coefficients of Maass Forms and the Siegel Zero
1994 · Jeffrey Hoffstein, Paul Lockhart · Annals of Mathematics · 287
On the Use of Ripley's K-Function and Its Derivatives to Analyze Domain Size
2009 · Maria A. Kiskowski, John F. Hancock, et al. · Biophysical Journal · 277
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Les Constantes des Equations Fonctionnelles des Fonctions L
2009 · P. Deligne · Lecture notes in mathematics · 268
Base Change for Gl(2)
1980 · R. P. Langlands · Princeton University Press , University of Tokyo Press eBooks · 268
Works count: 5,326
Citation count: 55,600
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