Summary and Info
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 Progressions, The Waring Problem, A "Natural" Proof of the Non-vanishing of L-Series, and a Simple Anlaytic 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.
More About the Author
Donald J. (D. J.) Newman (July 27, 1930 – March 28, 2007) was an American mathematician and professor, excelling at the Putnam mathematics competition while an undergraduate at City College of New York and New York University, and later receiving his PhD from Harvard University in 1953.
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