SPHERICAL FUNCTIONS FORGLnOVER LOCAL FIELDS, AND SUMMATION OF HECKE SERIES
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Publication:3215172
DOI10.1070/SM1970v012n03ABEH000929zbMath0272.22008OpenAlexW2005113712MaRDI QIDQ3215172
Publication date: 1971
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/70287
Adèle rings and groups (11R56) Analysis on (p)-adic Lie groups (22E35) Zeta functions and (L)-functions (11S40) Linear algebraic groups over local fields and their integers (20G25)
Related Items (14)
Ein Rationalitätssatz für formale Heckereihen zur Siegelschen Modulgruppe. (A rationality theorem for formal Hecke series related to the Siegel modular group) ⋮ Local densities of quadratic forms and Fourier coefficients of Eisenstein series ⋮ Spectral aspect subconvex bounds for \(U_{n+1} \times U_n\) ⋮ Rationality theorems for Hecke operators on GL\(_n\). ⋮ Explicit Hecke series for symplectic group of genus 4 ⋮ Spherical functions on orthogonal groups ⋮ Relations between the Hecke rings of the groups \(Sp_ n \)and \(SL_ n\). ⋮ Spherical functions on some \(p\)-adic classical groups ⋮ Statistics of Hecke eigenvalues for \(\mathrm{GL}(n)\) ⋮ The spherical image of a local Hecke series of genus four ⋮ On zeta functions and families of Siegel modular forms ⋮ Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators ⋮ The Siegel operator and Hecke operators ⋮ Twisting of Siegel modular forms with characters, and $L$-functions
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