A functional equation for the Lefschetz zeta functions of infinite cyclic coverings with an application to knot theory

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dc.creatorNoguchi, Akio
dc.date2005-05-25
dc.date.accessioned2026-07-07T05:20:15Z
dc.date.available2026-07-07T05:20:15Z
dc.descriptionThe Weil conjecture is a delightful theorem for algebraic varieties on finite fields and an important model for dynamical zeta functions. In this paper, we prove a functional equation of Lefschetz zeta functions for infinite cyclic coverings which is analogous to the Weil conjecture. Applying this functional equation to knot theory, we obtain a new view point on the reciprocity of the Alexander polynomial of a knot.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0505531
dc.identifierhttp://arxiv.org/abs/math/0505531
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75311
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject57M27; 37C30
dc.titleA functional equation for the Lefschetz zeta functions of infinite cyclic coverings with an application to knot theory
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