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Explicit Formulas for Regularized Products and Series
Tag Description
099$aOnline resource: Springer
100$aJorgenson, Jay.
245$aExplicit Formulas for Regularized Products and Series$h[EBook] /$cby Jay Jorgenson, Serge Lang, Dorian Goldfeld.
260$aBerlin, Heidelberg :$bSpringer Berlin Heidelberg :$bImprint: Springer,$c1994.
300$aVIII, 160 p.$bonline resource.
338$aonline resource$bcr$2rdacarrier
440$aLecture Notes in Mathematics,$x0075-8434 ;$v1593
520$aThe theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700$aLang, Serge.$eauthor.
700$aGoldfeld, Dorian.$eauthor.
710$aSpringerLink (Online service)
830$aLecture Notes in Mathematics,$x0075-8434 ;$v1593
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