Modular Functions and Dirichlet Series in Number Theory

Modular Functions and Dirichlet Series in Number Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 218
Release :
ISBN-10 : 9781461209997
ISBN-13 : 1461209994
Rating : 4/5 (97 Downloads)

Book Synopsis Modular Functions and Dirichlet Series in Number Theory by : Tom M. Apostol

Download or read book Modular Functions and Dirichlet Series in Number Theory written by Tom M. Apostol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.


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In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. Sinc