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Fonctions zêta -modulaires

Published online by Cambridge University Press:  11 January 2016

Alberto Mínguez*
Affiliation:
Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, 75005 Paris, France, [email protected]
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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 be a prime number different from p. In this article, generalizing the results of [GJ], we associate, to each -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

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

References

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