
Explicit Formulas
for Regularized Products and Series
Springer (Publisher)
Published on 16. December 1994
Book
Paperback/Softback
VIII, 160 pages
978-3-540-58673-9 (ISBN)
Description
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.
More details
Series
Edition
1994 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 160 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
540 gr
ISBN-13
978-3-540-58673-9 (9783540586739)
DOI
10.1007/BFb0074039
Schweitzer Classification
Persons
Content
Explicit formulas for regularized products and series.- A spectral interpretation of Weil's explicit formula.