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- catalog abstract "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.".
- catalog contributor b7282366.
- catalog contributor b7282367.
- catalog contributor b7282368.
- catalog contributor b7282369.
- catalog created "c1994.".
- catalog date "1994".
- catalog date "c1994.".
- catalog dateCopyrighted "c1994.".
- catalog description "Explicit formulas for regularized products and series / Jay Jorgenson and Serge Lang -- A spectral interpretation of Weil's explicit formula / Dorian Foldfeld.".
- catalog description "Includes bibliographical references and index.".
- catalog 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.".
- catalog extent "viii, 154 p. ;".
- catalog hasFormat "Explicit formulas for regularized products and series.".
- catalog identifier "0387586733 (New York : acid-free) :".
- catalog identifier "3540586733 (Berlin : acid-free) :".
- catalog isFormatOf "Explicit formulas for regularized products and series.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1593".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1593".
- catalog issued "1994".
- catalog issued "c1994.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Explicit formulas for regularized products and series.".
- catalog subject "510 s 512/.7 20".
- catalog subject "Functions, Zeta.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematics.".
- catalog subject "Number theory.".
- catalog subject "QA3 .L28 no. 1593 QA241".
- catalog subject "Sequences (Mathematics)".
- catalog subject "Spectral theory (Mathematics)".
- catalog subject "Topological Groups.".
- catalog tableOfContents "Explicit formulas for regularized products and series / Jay Jorgenson and Serge Lang -- A spectral interpretation of Weil's explicit formula / Dorian Foldfeld.".
- catalog title "Explicit formulas for regularized products and series / Dorian Goldfeld, Jay Jorgenson, Serge Lang.".
- catalog type "text".