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

M. A. Korolev

doi:10.4213/im5558

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arXiv · 1011.3997

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

M. A. Korolev

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Abstract

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.

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M. A. Korolev. 2010-11-17. On the Gram's Law in the Theory of Riemann Zeta Function. https://doi.org/10.4213/im5558

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