On the local Hecke series of some classical groups over \(\mathfrak p\)-adic fields

DOI10.2969/jmsj/03510133zbMath0496.14014OpenAlexW2077244772MaRDI QIDQ1170308

Takashi Sugano, Tatsuo Hina

Publication date: 1983

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03510133

zbMATH Keywords

Hermitian formHecke algebraWitt indexclassical groups over p-adic fieldsrationality of local Hecke series

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Analysis on (p)-adic Lie groups (22E35)

Related Items (10)

Basic functions and unramified local \(L\)-factors for split groups ⋮ Unramified Godement-Jacquet theory for the spin similitude group ⋮ Zeta function of degree six for Hermite modular forms of genus two ⋮ Explicit Hecke series for symplectic group of genus 4 ⋮ Hecke algebras related to the unimodular and modular groups over quadratic field extensions and quaternion algebras ⋮ Commutation relations of Hecke operators for Arakawa lifting ⋮ The Hecke algebras for the orthogonal group SO(2,3) and the paramodular group of degree 2 ⋮ Congruences among modular forms on \(\text{U}(2,2)\) and the Bloch-Kato conjecture ⋮ Certain Rankin-Selberg integral for unitary groups ⋮ The Maass space for \(U(2,2)\) and the Bloch-Kato conjecture for the symmetric square motive of a modular form

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