Explicit Formulas for Regularized Products and Series [electronic resource] / by Jay Jorgenson, Serge Lang, Dorian Goldfeld.
Material type:
TextSeries: Lecture Notes in Mathematics ; 1593Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1994Description: VIII, 160 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540490418Subject(s): Mathematics | Topological Groups | Global analysis (Mathematics) | Global differential geometry | Number theory | Mathematics | Number Theory | Topological Groups, Lie Groups | Differential Geometry | AnalysisAdditional physical formats: Printed edition:: No titleDDC classification: 512.7 LOC classification: QA241-247.5Online resources: Click here to access online
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Springer eBooksSummary: 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK1732 |
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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