Modular Functions and Dirichlet Series in Number Theory
2nd Edition
Published on 2. October 2012
Book
Paperback/Softback
X, 207 pages
978-1-4612-6978-6 (ISBN)
Description
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.
Reviews / Votes
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)More details
Product info
Book
Series
Language
English
Place of publication
New York, NY
United States
Target group
Graduate
Edition type
Revised edition
Product notice
Paperback (trade)
Illustrations
biography
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 12 mm
Weight
339 gr
ISBN-13
978-1-4612-6978-6 (9781461269786)
DOI
10.1007/978-1-4612-0999-7
Schweitzer Classification
Other editions
Additional editions
Tom M. Apostol
Modular Functions and Dirichlet Series in Number Theory
E-Book
12/2012
2nd Edition
Springer
€69.54
Available for download
Tom M. Apostol
Modular Functions and Dirichlet Series in Number Theory
Book
05/1997
2nd Edition
Springer
€96.29
Shipment within 5-7 days
Content
1: Elliptic functions. 2: The Modular group and modular functions. 3: The Dedekind eta function. 4: Congruences for the coefficients of the modular function j. 5: Rademacher's series for the partition function. 6: Modular forms with multiplicative coefficients. 7: Kronecker's theorem with applications. 8: General Dirichlet series and Bohr's equivalence theorem.