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arXiv:1011.3997 [math.NT]AbstractReferencesReviewsResources

On the Gram's Law in the Theory of Riemann Zeta Function

M. A. Korolev

Published 2010-11-17Version 1

Some statements concerning the distribution of imaginary parts of zeros of the Riemann zeta\,-function are established. These assertions are connected with so\,-called `Gram's law' or `Gram's rule'. In particular, we give a proof of several Selberg's formulae stated him without proof in his paper `The Zeta Function and the Riemann Hypothesis' (1946), and some of their equivalents.

Comments: 35 pages, 1 figure
Journal: Izvestiya: Mathematics(2012), 76(2):275
Categories: math.NT
Subjects: 11M06, 11M26
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