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

Apostol, Tom M. M.

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

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas

From the reviews of the second edition:

“Apostol is an excellent writer of mathematics and the topics that are covered in this book are covered thoroughly in a concise, precise manner. ... the writing is characterized by its easy, readable, fluid style. Each chapter is complemented with a nice set of exercises.” (Álvaro Lozano-Robledo, The Mathematical Association of America, June, 2011)

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título

9780387971278: Modular Functions and Dirichlet Series in Number Theory: 41 (Graduate Texts in Mathematics, 41)

Edición Destacada

ISBN 10:  0387971270 ISBN 13:  9780387971278
Editorial: Springer, 1997
Tapa dura