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An introduction to the theory of the Riemann zeta-function / S.J. Patterson

資料種別:: 図書
出版情報:: Cambridge ; New York : Cambridge University Press, 1988
形態:: xiii, 156 p. ; 24 cm
シリーズ名:: Cambridge studies in advanced mathematics ; 14 <BA00109761>
著者名:: Patterson, S. J. <DA00554319>
ISBN:: 9780521335355 [0521335353]
書誌ID:: BA01462071

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注記:

Bibliography: p. [152]-154
Includes index

主題:

Functions, Zeta

言語:

英語

目次情報:

Historical introduction / 1：

The Poisson summation formula and the functional equation / 2：

The Hadamard product formula and 'explicit formulae' of prime number theory / 3：

The zeros of the zeta function and the prime number theorem / 4：

The Riemann hypothesis and the LindelÃ·f hypothesis / 5：

The approximate functional equation / 6：

Appendix

Fourier theory

The Mellin transform

An estimate for certain integrals

The gamma function

Integral functions of finite order

Borel-Caratheodory theorems

Littlewood's theorem / 7：

Historical introduction / 1：

The Poisson summation formula and the functional equation / 2：

The Hadamard product formula and 'explicit formulae' of prime number theory / 3：

The zeros of the zeta function and the prime number theorem / 4：

The Riemann hypothesis and the LindelÃ·f hypothesis / 5：

The approximate functional equation / 6：

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