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Heat kernels, theta identities, and zeta functions on cyclic groups
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2006 (English)In: Topological and Asymptotic Aspects of Group Theory / [ed] rigorchuk, R; Mihalik, M; Sapir, M; Suik, Z, PROVIDENCE: AMER MATHEMATICAL SOC , 2006, Vol. 394, 177-189 p.Conference paper, Published paper (Refereed)
Abstract [en]

We prove a theta relation analogous to the classical Poisson-Jacobi theta inversion formula and deduce two formulas for the associated zeta functions. The proof is based on determinations of the heat kernel on Z and on Z/mZ. The theta identity gives in particular an interesting formula for certain sums of Bessel functions.

Place, publisher, year, edition, pages
PROVIDENCE: AMER MATHEMATICAL SOC , 2006. Vol. 394, 177-189 p.
Series
CONTEMPORARY MATHEMATICS SERIES, ISSN 0271-4132 ; 394
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-42109ISI: 000236909100013ISBN: 0-8218-3756-7 (print)OAI: oai:DiVA.org:kth-42109DiVA: diva2:446220
Conference
AMS Special Session on Probabilistic and Asymptotic Aspects of Group Theory. Athens, OH. MAR 26-27, 2004
Note

QC 20111006

Available from: 2011-10-06 Created: 2011-10-05 Last updated: 2016-12-21Bibliographically approved

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http://www.unige.ch/math/folks/karlsson/heatcyclicfinal.pdf

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