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Fonctions zêta ℓ-modulaires

Published online by Cambridge University Press:  11 January 2016

Alberto Mínguez
Alberto Mínguez*
Affiliation:
Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, 75005 Paris, France, minguez@math.jussieu.fr
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Abstract

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Let F be a non-Archimedean locally compact field, of residual characteristic p, and let D be a finite-dimensional central division F-algebra. Let ℓ be a prime number different from p. In this article, generalizing the results of [GJ], we associate, to each ℓ-modular smooth irreducible representation π of GLm (D), two invariants L(T,π), ε(T,π,ψ), where T is an indeterminate and ψ is a nontrivial character of F.

Keywords

11S4022E50

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 208: Memorial Volume for Professor Hiroshi Saito , December 2012 , pp. 39 - 65
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

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