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Explicit Formulas
Jorgenson, Jay; Lang, Serge; Goldfeld, Dorian
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Description for Explicit Formulas
Paperback. Explicit formulae can be used to describe the quantitative behaviour of various objects in analytic number theory and spectral theory. This monograph deals with other applications of these formulae arising from Gaussian test functions. Series: Lecture Notes in Mathematics. Num Pages: 168 pages, biography. BIC Classification: PBH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 9. Weight in Grams: 245.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
1994
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
168
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
160
Place of Publication
Berlin, Germany
ISBN
9783540586739
SKU
V9783540586739
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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