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The Theory of Hardy's Z-Function (Hardcover, New)
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The Theory of Hardy's Z-Function (Hardcover, New)
Series: Cambridge Tracts in Mathematics
Expected to ship within 12 - 17 working days
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Hardy's 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 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; 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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