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

Apostol, Tom M.

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

Synopsis

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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Review

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)

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