The Theory of Hardys Z-Function Aleksandar IVI

ISBN: 9781283714761

Published: January 29th 2013

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The Theory of Hardys Z-Function  by  Aleksandar IVI

The Theory of Hardys Z-Function by Aleksandar IVI
January 29th 2013 | ebook | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | | ISBN: 9781283714761 | 6.49 Mb

Hardys Z-function, related to the Riemann zeta-function (s), was originally utilised by G. H. Hardy to show that (s) has infinitely many zeros of the form +it. It is now amongst the most important functions of analytic number theory, and the RiemannMoreHardys Z-function, related to the Riemann zeta-function (s), was originally utilised by G. H. Hardy to show that (s) has infinitely many zeros of the form +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 +it, is perhaps one of the best known and most important open problems in mathematics.

Today Hardys function has many applications- among others it is used for extensive calculations regarding the zeros of (s). This comprehensive account covers many aspects of Z(t), including the distribution of its zeros, Gram points, moments and Mellin transforms. It features an extensive bibliography and end-of-chapter notes containing comments, remarks and references.

The book also provides many open problems to stimulate readers interested in further research.



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