An Introduction to the Analytic Theory of Numbers

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American Mathematical Society, May 22, 2014 - Mathematical analysis - 395 pages
The mathematical preparation is relatively modest: the elements of number theory, algebra, and group theory are required. A good working knowledge of element of complex function theory and general analytic processes is needed. The subject matter is of varying difficulty, and while the first chapter reads relatively easily, subsequent chapters require close attention. The subject of analytic number theory is not clearly defined. While the choice of topics included herein is somewhat arbitrary, the topics themselves represent some important problems of number theory to which generations of outstanding mathematicians have contributed.

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Contents

Dirichlets theorem on primes in an arithmetic progression
1
The theory of partitions
135
Warings problem
206
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