The Theory of Hardy's Z-Function

by Aleksandar IVI and Aleksandar Ivić

Hardy's Z-function, related to the Riemann zeta-function ζ(s), was originally utilised by G. H. Hardy to show that ζ(s) has infinitely many zeros of the form 1/2+it. It is now amongst the most important functions of analytic number theory, and the Riemann hypothesis, that all complex zeros lie on the line 1/2+it, is perhaps one of the best known and most important open problems in mathematics. Today Hardy's function has many applications;...

• Format: Hardcover
• Language: English
• ISBN: 1107028833
• ISBN13: 9781107028838
• Release Date: November 2012
• Publisher: Cambridge University Press
• Length: 264 Pages
• Weight: 1.10 lbs.
• Dimensions: 0.7" x 6.2" x 9.1"