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Explicit Formulas for Regularized Products and Series / by Jay Jorgenson, Serge Lang, Dorian Goldfeld.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Jorgenson, Jay, author.
- Lang, Serge, author.
- Goldfeld, D., author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1593.
- Lecture Notes in Mathematics, 0075-8434 ; 1593
- Language:
- English
- Subjects (All):
- Number theory.
- Topological groups.
- Global differential geometry.
- Global analysis (Mathematics).
- Number Theory.
- Topological Groups, Lie Groups.
- Differential Geometry.
- Analysis.
- Local Subjects:
- Number Theory.
- Topological Groups, Lie Groups.
- Differential Geometry.
- Analysis.
- Physical Description:
- 1 online resource (VIII, 160 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994.
- System Details:
- text file PDF
- Summary:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540490418
- Access Restriction:
- Restricted for use by site license.
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