Analytic Number Theory [Paperback]

Some of the central topics in number theory, presnted in a simple and concise fashion. The author covers an amazing amount of material, despite a leisurely pace and emphasis on readability. His heartfelt enthusiasm enables readers to see what is magical about the subject. All the topics are presented in a refreshingly elegant and efficient manner with clever examples and interesting problems throughout. The text is suitable for a graduate course in analytic number theory.Analytic Number Theory presents 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 Erd?s-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.The Idea of Analytic Number Theory.- The Partition Function.- The Erd?s-Fuchs Theorem.- Sequences without Arithmetic Progressions.- The Waring Problem.- A Natural Proof of the Nonvanishing of L-Series.- Simple Analytic Proof of the Prime Number Theorem.

From the reviews:

D. J. Newman

Analytic Number Theory

This book is remarkable . . . The authors style remains pleasantly discursive throughout the book. Any of these chapters might be useful to a reader planning a lecture course in the relevant subject area . . . The student of analytic number theory would do well to find shelf-room for this book. MATHEMATICAL

Donald J. Newman was a noted lÌ