Geodesic
Gram's law and Selberg's conjecture on the distribution of zeros of the Riemann zeta function
Izvestiya. Mathematics , Tome 74 (2010) no. 4, pp. 743-780

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We prove a number of new assertions related to the zeros of the Riemann zeta function $\zeta(s)$ and to the so-called Gram law.
Keywords: Riemann zeta function, Gram's law, Gram's rule, the argument of the Riemann zeta function. 
@article{IM2_2010_74_4_a5,
     author = {M. A. Korolev},
     title = {Gram's law and {Selberg's} conjecture on the distribution of zeros of the {Riemann} zeta function},
     journal = {Izvestiya. Mathematics },
     pages = {743--780},
     publisher = {mathdoc},
     volume = {74},
     number = {4},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2010_74_4_a5/}
}
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M. A. Korolev. Gram's law and Selberg's conjecture on the distribution of zeros of the Riemann zeta function. Izvestiya. Mathematics , Tome 74 (2010) no. 4, pp. 743-780. http://geodesic.mathdoc.fr/item/IM2_2010_74_4_a5/