Analogies between analysis on foliated spaces and arithmetic geometry

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dc.creatorDeninger, C.
dc.date2007-09-18
dc.date.accessioned2026-07-07T08:30:26Z
dc.date.available2026-07-07T08:30:26Z
dc.descriptionWe point out analogies between (a) the explicit formulas in analytic number theory and transversal index theory, (b) Lichtenbaum's recent conjectures on special values of Hasse-Weil zeta functions and a formula for special values of Ruelle zeta functions, (c) work of Cramer on the zeroes of the Riemann zeta function and a result of Chazarain on the trace of a wave operator. These analogies suggest certain problems in the analysis on foliated spaces. The paper is mostly a review of previous work but the ideas concerning (c) are new.
dc.descriptionto appear in a conference volume in honour of Hermann Weyl
dc.identifierhttps://arxiv.org/abs/0709.2801
dc.identifierhttp://arxiv.org/abs/0709.2801
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138243
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11-02; 11R42; 34C25; 37C27; 53C12; 58B34
dc.titleAnalogies between analysis on foliated spaces and arithmetic geometry
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