Problems in analytic number theory
著者
書誌事項
Problems in analytic number theory
(Graduate texts in mathematics, 206 . Readings in mathematics)
Springer, c2001
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注記
Includes bibliographical references (p. [447]-448) and index
内容説明・目次
内容説明
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.
目次
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.
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