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Springer Modular Functions and Dirichlet Series in Number Theory (Volume 2)

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Description

This second volume of a comprehensive graduate-level textbook explores modular functions, Dirichlet series, and their applications in number theory. Evolved from Mathematics 160 at the California Institute of Technology over 25 years, this text assumes foundational knowledge from the first volume and familiarity with complex analysis. The book provides rigorous treatment of elliptic functions and modular forms, covering Rademacher's convergent series for the partition function and Lehner's congruences among other significant topics. Designed for advanced mathematics students and researchers, this Springer Graduate Texts in Mathematics volume (41) offers deep insights into the interplay between classical analysis and number-theoretic problems, making it essential for anyone pursuing graduate-level study in these areas.

Key Features

Second volume of a two-volume textbook series offering comprehensive coverage of modular functions and Dirichlet series with number theory applications.

Covers elliptic functions and modular functions with detailed exploration of Rademacher's convergent series for the partition function.

Requires knowledge of complex analysis and background in number theory from the first volume for optimal understanding.

Published by Springer as part of the Graduate Texts in Mathematics series, volume 41, establishing its place as a standard reference.

Based on Mathematics 160 course taught at the California Institute of Technology, combining decades of pedagogical refinement with rigorous mathematical exposition.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
01 December 1989
Listed Since
15 February 2007

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