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Zeta functions, Grothendieck groups, and the Witt ring

Published 7 Jul 2014 in math.NT, math.AG, and math.KT | (1407.1813v2)

Abstract: We prove some results connecting the zeta functions of varieties over finite fields with the big Witt ring over $\mathbb Z$. We explore relations with motivic measures and a classical formula of Macdonald on invariants of symmetric products of a variety.

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