BourbakiV1, Main, Exploration, bibRecord, 000966

On certain character sums over p ‐adic rings and their L ‐functions

Identifieur interne : 000966 ( Main/Exploration ); précédent : 000965; suivant : 000967

On certain character sums over p ‐adic rings and their L ‐functions

Auteurs : Régis Blache [Polynésie française, France]

Source :

Mathematische Nachrichten [ 0025-584X ] ; 2007-11.

RBID : ISTEX:BF266CF6FE2F978238BCA8D2ED5AAB33A2491242

English descriptors

KwdEn :
- Algebraic closure, Arithmetic multiplicity, Blache, Certain character sums, Character sums, Corollary notations, Critical distance, Critical neighbourhood, Critical point, Critical points, Disjoint union, Exponential sums, Gauss, Gauss sums, Gmbh, Greater valuation, Kgaa, Last integral, Modulo, Monomial, Nachr, Neighbourhood, Newton polygon, Nite, Nonnegative, Nonnegative integer, Other hand, Power series, Prime number, Reciprocal roots, Reduction modulo, Resp, Second part, Taylor expansion, Valuation ring, Verlag, Verlag gmbh, Weil, Weil numbers, Weinheim, Weinheim blache, Weinheim math.
Teeft :
- Algebraic closure, Arithmetic multiplicity, Blache, Certain character sums, Character sums, Corollary notations, Critical distance, Critical neighbourhood, Critical point, Critical points, Disjoint union, Exponential sums, Gauss, Gauss sums, Gmbh, Greater valuation, Kgaa, Last integral, Modulo, Monomial, Nachr, Neighbourhood, Newton polygon, Nite, Nonnegative, Nonnegative integer, Other hand, Power series, Prime number, Reciprocal roots, Reduction modulo, Resp, Second part, Taylor expansion, Valuation ring, Verlag, Verlag gmbh, Weil, Weil numbers, Weinheim, Weinheim blache, Weinheim math.

Abstract

In this paper we present a new method for evaluating exponential sums associated to a restricted power series in one variable modulo pl , a power of a prime. We show that for sufficiently large l, these sums can be expressed in terms of Gauss sums. Moreover, we study the associated L ‐functions; we show that they are rational, then we determine their degrees and the weights as Weil numbers of their reciprocal roots and poles. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Url:

https://api.istex.fr/document/BF266CF6FE2F978238BCA8D2ED5AAB33A2491242/fulltext/pdf

DOI: 10.1002/mana.200510571

Affiliations:

France, Polynésie française

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Le document en format XML

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<front><div type="abstract" xml:lang="en">In this paper we present a new method for evaluating exponential sums associated to a restricted power series in one variable modulo pl , a power of a prime. We show that for sufficiently large l, these sums can be expressed in terms of Gauss sums. Moreover, we study the associated L ‐functions; we show that they are rational, then we determine their degrees and the weights as Weil numbers of their reciprocal roots and poles. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</div>
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On certain character sums over p ‐adic rings and their L ‐functions

On certain character sums over p ‐adic rings and their L ‐functions

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri