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

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

2010-11-17

arxiv.org/abs/1011.3997v1

Mathematics

Number Theory

35 pages, 1 figure

Scientific paper

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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