RATIONALITY THEOREMS FOR HECKE SERIES AND ZETA FUNCTIONS OF THE GROUPSGLnandSPnOVER LOCAL FIELDS
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Publication:5645610
DOI10.1070/IM1969v003n03ABEH000788zbMath0236.20033OpenAlexW1998159753MaRDI QIDQ5645610
Publication date: 1970
Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im1969v003n03abeh000788
Zeta functions and (L)-functions (11S40) Classical groups (11E57) Linear algebraic groups over local fields and their integers (20G25) Automorphic functions in symmetric domains (32N15)
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On automorphic forms on the unitary symplectic group \(\mathrm{Sp}(n)\) and \(\mathrm{SL}_ 2(\mathbb R)\) ⋮ A formal power series of a Hecke ring associated with the Heisenberg lie algebra over ℤp ⋮ Explicit Hecke series for symplectic group of genus 4 ⋮ On zeta functions and families of Siegel modular forms ⋮ Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators
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