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

Franziska Heinloth
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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.

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Franziska Heinloth. 2005-12-12. A note on functional equations for zeta functions with values in Chow motives. https://arxiv.org/abs/math/0512237

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