Valeurs aux T-uplets d'entiers negatifs de series zetas multivariables associees a des polynomes de plusieurs variables

Details Valeurs aux T-uplets d'entiers negatifs de series zetas multivariables associees a des polynomes de plusieurs variables Valeurs aux T-uplets d'entiers negatifs de series zetas multivariables associees a des polynomes de plusieurs variables

2003-11-15

arxiv.org/abs/math/0311256v1

Mathematics

Number Theory

33 pages, in french

Scientific paper

We consider twisted zeta series of several variables associated to polynomials of several variables. Thanks to a totally new method (exchange lemma) we calculate the values at vectors formed of negative integers.After transformation of the formula we obtained, we make p-adic interpolation. ----- Nous considerons des series zetas multivariables associees a des polynomes de plusieurs variables. Grace a une methode totalement nouvelle (dite du lemme d'echange) nous calculons les valeurs aux T-uplets d'entiers negatifs. Apres transformation des formules ainsi obtenues nous faisons l'interpolation p-adique.

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