解析的数論における問題 Problems in Analytic Number Theory

Murty, M. Ram

Springer-Verlag New York Inc.（2001/01発売）

• 製本 Hardcover:ハードカバー版／ページ数 468 p.
• 言語 ENG
• 商品コード 9780387951430
• DDC分類 512.73

基本説明

Gives a rapid introduction of how analytic methods are used to study the distribution of prime numbers. Also includes an introduction to p-adic analytic methods. It is ideal for a first course.

Full Description

This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory.

Contents

Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- References.