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

Franziska Heinloth (2007)

Annales de l’institut Fourier

We consider zeta functions with values in the Grothendieck ring of Chow motives. Investigating the λ –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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