A note on functional equations for zeta functions with values in Chow motives

Preprint

12 December 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0512237

Abstract

We consider zeta functions with values in the Grothendieck ring of Chow motives. Investigating the lambda-structure of this ring, we deduce a functional equation for the zeta function of abelian varieties. Furthermore, we show that the property of having a rational zeta function satisfying a functional equation is preserved under products.

Keywords

FUNCTIONAL EQUATION
ABELIAN VARIETIES
LAMBDA STRUCTURE
ZETA FUNCTIONS
CHOW MOTIVES
MOTIVES

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