Partial zeta functions of algebraic varieties over finite fields

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dc.creatorWan, Daqing
dc.date2000-06-14
dc.date.accessioned2026-07-07T04:36:11Z
dc.date.available2026-07-07T04:36:11Z
dc.descriptionBy restricting the variables running over various (possibly different) subfields, we introduce the notion of a partial zeta function. We prove that the partial zeta function is rational in an interesting case, generalizing Dwork's well known rationality theorem. In general, the partial zeta function is probably not rational. But a theorem of Faltings says that the partial zeta function is always nearly rational.
dc.identifierhttps://arxiv.org/abs/math/0006236
dc.identifierhttp://arxiv.org/abs/math/0006236
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59509
dc.subjectNumber Theory
dc.titlePartial zeta functions of algebraic varieties over finite fields
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