Analytic Number Theorypresents some of the central topics in number
theory in a simple and concise fashion. It covers an amazing amount of
material, despite the leisurely pace and emphasis on readability. The
author's heartfelt enthusiasm enables readers to see what is magical
about the subject. Topics included are: The Partition Function; The
Erdös-Fuchs Theorem; Sequences without Arithmetic Professions; The
Waring Problem; A "Natural" Proof of the Non-vanishing of L-Series, and a
Simple Analytic Proof of the Prime Number Theorem - all presented in a
surprisingly elegant and efficient manner with clever examples and
interesting problems in each chapter. This text is suitable for a
graduate course in analytic number theory.
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