Modular Functions and Dirichlet Series in Number Theory
Tom M. Apostol
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Description for Modular Functions and Dirichlet Series in Number Theory
Paperback. Series: Graduate Texts in Mathematics. Num Pages: 217 pages, biography. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 225 x 160 x 12. Weight in Grams: 320.
This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology during the last 25 years. The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic applications. Among the major topics treated are Rademacher's convergent series for the partition function, Lehner's congruences for the Fourier coefficients of the modular functionj(r), and ... Read more
This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology during the last 25 years. The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic applications. Among the major topics treated are Rademacher's convergent series for the partition function, Lehner's congruences for the Fourier coefficients of the modular functionj(r), and ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer-Verlag New York Inc. United States
Number of pages
217
Condition
New
Series
Graduate Texts in Mathematics
Number of Pages
207
Place of Publication
New York, NY, United States
ISBN
9781461269786
SKU
V9781461269786
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Modular Functions and Dirichlet Series in Number Theory
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, ... Read more