Explicit formulas for regularized products and series. Lecture notes in mathematics (Springer-Verlag); 1593.

Goldfeld, D.:

ISBN 10: 3540586733 / ISBN 13: 9783540586739

Published by Berlin, Springer-Verlag, 1994

About this Item

154 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05113 9783540586739 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2491360

Bibliographic Details

• Title: Explicit formulas for regularized products and series. Lecture notes in mathematics (Springer-Verlag); 1593.
• Publisher: Berlin, Springer-Verlag
• Publication Date: 1994
• Language: English
• ISBN 10: 3540586733
• ISBN 13: 9783540586739
• Binding: Softcover
• Condition: Gut
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.