On new results related to Gram's law
Izvestiya. Mathematics , Tome 77 (2013) no. 5, pp. 917-940
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We prove a number of new results related to Gram's law in the theory
of the Riemann zeta-function that reflect irregularity
in the distribution of the ordinates of the complex zeros of that function.
Results are obtained on the distribution of pairs, triples, quadruples, …
of adjacent ordinates of such zeros that simultaneously do not obey Gram's law.
Keywords:
Riemann zeta-function, Gram's law, Gram's rule.
@article{IM2_2013_77_5_a1,
author = {M. A. Korolev},
title = {On new results related to {Gram's} law},
journal = {Izvestiya. Mathematics },
pages = {917--940},
publisher = {mathdoc},
volume = {77},
number = {5},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2013_77_5_a1/}
}
M. A. Korolev. On new results related to Gram's law. Izvestiya. Mathematics , Tome 77 (2013) no. 5, pp. 917-940. http://geodesic.mathdoc.fr/item/IM2_2013_77_5_a1/