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 Heckeβs theory
Modular Functions and Dirichlet Series in Number Theory
β Scribed by Tom M. Apostol (auth.)
- Publisher
- Springer New York
- Year
- 1976
- Tongue
- English
- Leaves
- 216
- Series
- Graduate Texts in Mathematics 41
- Edition
- 2nd ed
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Subjects
Number Theory
π SIMILAR VOLUMES
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 k
This volume is a sequel to the author's Introduction to Analytic Number Theory (UTM 1976, 3rd Printing 1986). It presupposes an undergraduate background in number theory comparable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of this
Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenste