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An introduction to the theory of the Riemann zeta-function

Author: S J Patterson
Publisher: Cambridge ; New York : Cambridge University Press, 1988.
Series: Cambridge studies in advanced mathematics, 14.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This is a modern introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S J Patterson
ISBN: 0521335353 9780521335355
OCLC Number: 15629499
Description: xiii, 156 pages ; 24 cm.
Contents: Historical introduction --
The Poisson summation formula and the functional equation --
The Hadamard product formula and 'explicit formulae' of prime number theory --
The zeros of the zeta-function and the prime number theorem --
The Riemann hypothesis and the Lindelöf hypothesis --
The approximate functional equation --
Appendices. 1. Fourier theory --
2. The Mellin transform --
3. An estimate for certain integrals --
4. The gamma-function --
5. Integral functions of finite order --
6. Borel-Caratheodory theorems --
7. Littlewood's theorem.
Series Title: Cambridge studies in advanced mathematics, 14.
Other Titles: Theory of the Riemann zeta-function.
Responsibility: S.J. Patterson.
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'This is a clear and concise introduction to the zeta function that concentrates on the function-theoretical aspects rather than number theory ... The exercises are especially good, numerous and Read more...

 
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