Problems in analytic number theory

M. Ram Murty

This informative and exhaustive study 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. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on the arithmetic progression of primes.

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[目次]

  • Problems.- 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.- Equidistribution.- Solutions.- 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.- Equidistribution.

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この本の情報

書名 Problems in analytic number theory
著作者等 Murty, Ram
Murty U.S.R.
シリーズ名 Graduate texts in mathematics
出版元 Springer
刊行年月 c2008
版表示 2nd ed
ページ数 xxi, 502 p.
大きさ 25 cm
ISBN 9780387723495
NCID BA8536908X
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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