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,...
Lire la suite
Livré chez vous entre le 19 juillet et le 24 juillet
En magasin
Résumé
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 Erdös-Fuchs Theorem, sequences without arithmetic progressions, the Waring Problem, a "natural" proof of the non-vanishing of L-Series, and a simple analytic proof of the Prime Number Theorem. All topics are 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.
Sommaire
The Idea of Analytic Number Theory
The Partition Function
The Erdös-Fuchs Theorem
Sequences without Arithmetic Progression
The Waring Problem
A "Natural" Proof of the Nonvanishing of L-Series
Simple Analytic Proof of the Prime Number Theorem.