Parabolic extensions of a Hecke ring of the general linear group

DOI10.1007/BF01374983zbMath0663.10031OpenAlexW2035901920MaRDI QIDQ1114744

Valery Gritsenko

Publication date: 1988

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/67806

zbMATH Keywords

decompositionpolynomialsDirichlet seriesGL(4)Euler product expansionsrationality of Hecke series

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (3)

Zeta function of degree six for Hermite modular forms of genus two ⋮ On the decomposition of Hecke polynomials over parabolic Hecke algebras ⋮ Parabolic induction via the parabolic pro-𝑝 Iwahori–Hecke algebra

Cites Work

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• Recurrence relations in the theory of Hecke operators
• Zeta function of degree six for Hermite modular forms of genus two
• On the \(\zeta\)-functions of a division algebra
• Theory of spherical functions on reductive algebraic groups over p-adic fields

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