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

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

2005-12-12

arxiv.org/abs/math/0512237v1

Mathematics

Algebraic Geometry

Scientific paper

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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