Geodesic
On Gram's law in the theory of the Riemann zeta function
Izvestiya. Mathematics , Tome 76 (2012) no. 2, pp. 275-309

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We prove an assertion of Selberg concerning Gram's rule and the distribution of zeros of the Riemann zeta function. We also prove some equivalent assertions.
Keywords: Gram's law, Gram's rule, argument of the Riemann zeta function. 
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     author = {M. A. Korolev},
     title = {On {Gram's} law in the theory of the {Riemann} zeta function},
     journal = {Izvestiya. Mathematics },
     pages = {275--309},
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     volume = {76},
     number = {2},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a2/}
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M. A. Korolev. On Gram's law in the theory of the Riemann zeta function. Izvestiya. Mathematics , Tome 76 (2012) no. 2, pp. 275-309. http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a2/