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.
Dorian Goldfeld & Jay Jorgenson
Explicit Formulas [PDF ebook]
for Regularized Products and Series
Explicit Formulas [PDF ebook]
for Regularized Products and Series
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Ngôn ngữ Anh ● định dạng PDF ● ISBN 9783540490418 ● Nhà xuất bản Springer Berlin Heidelberg ● Được phát hành 2006 ● Có thể tải xuống 3 lần ● Tiền tệ EUR ● TÔI 6319469 ● Sao chép bảo vệ Adobe DRM
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