Selberg's zeta-, L-, and Eisensteinseries / Ulrich Christian
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1030Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1983ISBN: 9783540127017.ISSN: 1617-9692.Sujet MSC : 11F66, Discontinuous groups and automorphic forms, Langlands L-functions; one variable Dirichlet series and functional equations11F27, Discontinuous groups and automorphic forms, Theta series; Weil representation; theta correspondences
11F67, Discontinuous groups and automorphic forms, Special values of automorphic L-series, periods of modular forms, cohomology, modular symbols
11-02, Research exposition (monographs, survey articles) pertaining to number theoryEn-ligne : Springerlink | MathSciNet
... Chapters 1 and 2 are devoted to low-dimensional cases (Epstein's zeta function of a binary quadratic form) and preparatory material. As the course was intended to be self-contained, here and in the following chapters part of the material from the book by Maass had to be incorporated. In these cases the discussion sometimes is short, referring to Maass's book for proofs. Chapter 3 contains analytic continuation and functional equations for the generalized zeta functions and calculation of residues. In Chapters 4 and 5 relations with Eisenstein series are treated following a method due to B. Diehl (MathSciNet)
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