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＜電子ブック＞
Explicit Formulas : for Regularized Products and Series / by Jay Jorgenson, Serge Lang, Dorian Goldfeld
(Lecture Notes in Mathematics. ISSN:16179692 ; 1593)

版	1st ed. 1994.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1994
大きさ	VIII, 160 p : online resource
著者標目	*Jorgenson, Jay author Lang, Serge author Goldfeld, Dorian author SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Topological groups LCSH:Lie groups LCSH:Geometry, Differential LCSH:Mathematical analysis FREE:Number Theory FREE:Topological Groups and Lie Groups FREE:Differential Geometry FREE:Analysis
一般注記	The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example HTTP:URL=https://doi.org/10.1007/BFb0074039

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