Shintani functions and automorphic \(L\)-functions for \(GL(n)\)

DOI10.2748/tmj/1178225376zbMath0863.11035OpenAlexW1981306886MaRDI QIDQ1922254

Atsushi Murase, Takashi Sugano

Publication date: 3 June 1997

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225376

zbMATH Keywords

Eisenstein series\(L\)-functionRankin-Selberg convolutionslocal factorsShintani functions

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (8)

An Euler system for \(\mathrm{GU}(2,1)\) ⋮ Multiplicity one theorems ⋮ Symmetry breaking operators for strongly spherical reductive pairs ⋮ Whittaker-Shintani functions for general linear groups over \(p\)-adic fields ⋮ Shintani functions on $GL(2,{\mathbf {C}})$ ⋮ Whittaker-Shintani function for orthogonal groups ⋮ Shintani functions on $GL(2,\mathbf {R})$ ⋮ Shintani functions on \(\mathrm{SL}(3,\mathbb R)\)

Cites Work

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• On the functional equations satisfied by Eisenstein series
• A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
• Shintani function and its application to automorphic \(L\)-functions for classical groups. I: The case of orthogonal groups
• On the \(\zeta\)-functions of a division algebra
• Zeta functions of simple algebras
• Theory of spherical functions on reductive algebraic groups over p-adic fields
• On Euler Products and the Classification of Automorphic Representations I
• The special values of the zeta functions associated with cusp forms
• On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields

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