Modular Functions and Dirichlet Series in Number Theory (eBook, PDF)
Tom M. Apostol
eBook, PDF

Modular Functions and Dirichlet Series in Number Theory (eBook, PDF)

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This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology du ring 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 f...

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