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The theory of Hardy's Z-function

Author: A Ivić
Publisher: New York : Cambridge University Press, 2013.
Series: Cambridge tracts in mathematics, 196.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"This book is an outgrowth of a mini-course held at the Arctic Number Theory School, University of Helsinki, May 18-25, 2011. The central topic is Hardy's function, of great importance in the theory of the Riemann zeta-function. It is named after Godfrey Harold Hardy FRS (1877-1947), who was a prominent English mathematician, well-known for his achievements in number theory and mathematical analysis"--
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Details

Document Type: Book
All Authors / Contributors: A Ivić
ISBN: 9781107028838 1107028833
OCLC Number: 793221787
Description: xvii, 245 pages ; 24 cm.
Contents: 1. Definition of zeta(s), Z(t) and basic notions; 2. The zeros on the critical line; 3. The Selberg class of L-functions; 4. The approximate functional equations for zetak(s); 5. The derivatives of Z(t); 6. Gram points; 7. The moments of Hardy's function; 8. The primitive of Hardy's function; 9. The Mellin transforms of powers of Z(t); 10. Further results on Mk(s)$ and Zk(s); 11. On some problems involving Hardy's function and zeta moments; References; Index.
Series Title: Cambridge tracts in mathematics, 196.
Responsibility: Aleksandar Ivić, Univerzitet u Beogradu, Serbia.

Abstract:

A comprehensive account of Hardy's Z-function, one of the most important functions of analytic number theory.  Read more...
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