Poles of \(L\)-functions on quaternion groups

DOI10.1007/s11401-014-0849-5zbMath1297.11045OpenAlexW2054492481MaRDI QIDQ741473

Çetin Ürtiş

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-014-0849-5

zbMATH Keywords

\(L\)-functionsquaternion groupsSiegel Eisenstein seriesregularized Siegel-Weil formula

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Induced representations for locally compact groups (22D30) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• Special values of \(L\)-functions by a Siegel-Weil-Kudla-Rallis formula
• Poles of Eisenstein series on quaternion groups
• Explicit constructions of automorphic \(L\)-functions
• On the functional equations satisfied by Eisenstein series
• A regularized Siegel-Weil formula: The first term identity
• Sur la formule de Siegel dans la théorie des groupes classiques
• On the Siegel-Weil formula for quaternionic unitary groups

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