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Modular Functions and Dirichlet Series in Number Theory: 41 (Graduate Texts in Mathematics) - Tapa blanda

Apostol, Tom M.

 
9781461269786: Modular Functions and Dirichlet Series in Number Theory: 41 (Graduate Texts in Mathematics)

Sinopsis

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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De la contraportada

This volume is a sequel to INTRODUCTION TO ANALYTIC NUMBER THEORY (UTM). Most of the book is concerned with a classical treatment of elliptic and modular functions with applications to number theory. This includes the asymptotic theory of partitions and multiplicative properties of coefficients of modular forms. The book presupposes a knowledge of elementary number theory and the rudiments of real and complex analysis.

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