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Explicit formulas for regularized products and series / Jay Jorgenson, Serge Lang, Dorian Goldfeld

Main Author Jorgenson, Jay Coauthor Lang, Serge, 1927-2005
Goldfeld, Dorian M., 1947-
Country Alemanha. Publication Berlin : Springer-Verlag, cop. 1994 Description VIII, 154 p. ; 24 cm Series Lecture notes in mathematics , 1593 ISBN 3-540-58673-3 CDU 511
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Holdings
Item type Current location Call number Status Date due Barcode Item holds
Monografia Biblioteca Geral da Universidade do Minho
BGUMD 107542 Available 191066
Total holds: 0

Enhanced descriptions from Syndetics:

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.

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