دانلود کتاب Explicit Formulas for Regularized Products and Series

Name: Explicit Formulas for Regularized Products and Series
Availability: InStock
Author: Jay Jorgenson
ISBN: 9783540586739, 3540586733, 0387586733

by Jay Jorgenson

عنوان فارسی: فرمول صریح و روشن برای منظم محصولات و سری
ناشر: Springer-Verlag Berlin Heidelberg
سال: 1994
ویرایش: 1
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 160-156
شابک: 9783540586739, 3540586733, 0387586733
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 5.00 مگابایت

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جزییات کتاب

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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