Fourier series and the special values of \(L\)-functions

DOI10.1016/0001-8708(88)90059-XzbMath0649.12009MaRDI QIDQ1105644

Michael I. Rosen, Gross, Benedict H.

Publication date: 1988

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

functional equationFourier seriesL-seriesglobal function field over a finite field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions of number fields (11R42) Other transforms and operators of Fourier type (43A32)

Related Items (9)

The index of elliptic units in \(\mathbb Z_p\)-extensions. II ⋮ Zeta elements in the \(K\)-theory of Drinfeld modular varieties ⋮ Indice des unités elliptiques dans les $\mathbb{Z}_p$-extensions ⋮ Kronecker limit formula for Drinfeld modules. ⋮ Distributions on a global field ⋮ Punctured distributions in the rational function fields ⋮ Cyclotomic units in function fields ⋮ Elliptic units, indices and \(\mathbb Z_p\)-extensions ⋮ Étude d'un idéal particulier, d'indice fini dans le carré de l'idéal d'augmentation, associé à un caractère de Dirichlet d'un groupe fini

Cites Work

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• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• The class number of cyclotomic function fields
• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• Analytic class number formulas in function fields
• Elliptic functions according to Eisenstein and Kronecker.
• Dirichlet series and automorphic forms
• Les Constantes des Equations Fonctionnelles des Fonctions L
• ELLIPTIC MODULES
• Théorie de la dualité et analyse harmonique dans les groupes abéliens localement compacts

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