Modular Functions and Dirichlet Series in Number Theory
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Beschreibung
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.
Autor*in
Tom M. Apostol
Themen in »Modular Functions and Dirichlet Series in Number Theory«
Complex analysis Elliptische Funktion Modulfunktion Riemann zeta function modular form number theory
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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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