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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
本文言語	英語
大きさ	VIII, 160 p : online resource
冊子体	Explicit formulas for regularized products and series / Jay Jorgenson & Serge Lang, Dorian Goldfeld. ; 1593
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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0074039

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