An analogue of the Chowla-Selberg formula for several automorphic L-functions

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dc.creatorSuzuki, Masatoshi
dc.date2006-06-05
dc.date.accessioned2026-07-07T07:14:47Z
dc.date.available2026-07-07T07:14:47Z
dc.descriptionIn this paper, we will give a certain formula for the Riemann zeta function that expresses the Riemann zeta function by an infinte series consisting of $K$-Bessel functions. Such an infinite series expression can be regarded as an analogue of the Chowla-Selberg formula. Roughly speaking, the Chowla-Selberg formula is the formula that expresses the Epstein zeta-function by an infinite series consisting of $K$-Bessel functions. In addition, we also give certain analogues of the Chowla-Selberg formula for Dirichlet $L$-functions and $L$-functions associated with holomorphic cusp forms. Moreover, we introduce a two variable function which is analogous to the real analytic Eisenstein series and give a certain limit formula for this one. Such a limit formula can be regarded as an analogue of Kronecker's limit formula.
dc.description23 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0606096
dc.identifierhttp://arxiv.org/abs/math/0606096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113021
dc.subjectNumber Theory
dc.subject11M06; 11M20
dc.titleAn analogue of the Chowla-Selberg formula for several automorphic L-functions
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