p-adic measures attached to automorphic representations of GL(3)

DOI10.1007/BF01393749zbMath0656.10023OpenAlexW2018365758MaRDI QIDQ1109808

Claus Günther Schmidt

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143584

zbMATH Keywords

functional equationcritical valuesp-adic interpolationautomorphic representation of GL(3)p-adic holomorphysymmetric squares of \(\ell \)-adic representationstwisted L-function

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

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Cites Work

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• A p-adic measure attached to the zeta functions associated with two elliptic modular forms. I
• Automorphic forms on GL (2)
• On modular forms of half integral weight
• Evaluation of the Symmetric Square at the Near Center Point
• The p-adic L-functions attached to Rankin convolutions of modular forms.
• Iwasawa theory for the symmetric square of an elliptic curve.
• Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight
• On the Holomorphy of Certain Dirichlet Series
• The special values of the zeta functions associated with cusp forms
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$