Séries d'Eisenstein, intégrales toroïdales et une formule de Hecke. (Eisenstein series, toroidal integrals and a formula of Hecke)

zbMath0581.12006MaRDI QIDQ1068131

Franck Wielonsky

Publication date: 1985

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

Eisenstein seriesDedekind zeta functionFourier coefficientadelic versionHecke's integral formulaintegrals of Epstein zeta-functions

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Zeta functions and (L)-functions of number fields (11R42) Adèle rings and groups (11R56) Hurwitz and Lerch zeta functions (11M35)

Related Items (12)

Some recents advances on Duke’s equidistribution theorems ⋮ The relative Hecke integral formula for an arbitrary extension of number fields ⋮ Automorphic forms for elliptic function fields ⋮ Diagonal restriction of Eisenstein series and Kudla-Millson theta lift ⋮ On real quadratic fields ⋮ Distribution of periodic torus orbits and Duke's theorem for cubic fields ⋮ Toroidal automorphic forms for function fields ⋮ Non-vanishing of class group L-functions for number fields with a small regulator ⋮ Toroidal automorphic forms for some function fields ⋮ Transgressions of the Euler class and Eisenstein cohomology of \(\mathrm{GL}_N(\text{Z})\) ⋮ Hyperbolic equidistribution problems on Siegel 3-folds and Hilbert modular varieties ⋮ Zeroes of \(L\)-functions and toric forms

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