A note on functional equations for zeta functions with values in Chow motives
Franziska Heinloth (2007)
Annales de l’institut Fourier
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We consider zeta functions with values in the Grothendieck ring of Chow motives. Investigating the –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.