Abstract
The paper contains the formulations of some new results related to Gram’s law in the theory of the Riemann zeta-function and describing the irregularity in the distribution of complex zeros of this function. Namely, we obtain some results related to the distribution of pairs, triples, quadruples etc. of the neighbouring ordinates of such zeros that simultaneously do not satisfy Gram’s law.
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References
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Original Russian Text © M.A. Korolev, 2012, published in Doklady Akademii Nauk, 2012, Vol. 446, No. 4, pp. 378–379.
The article was translated by the author.
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Korolev, M.A. On some new results related to Gram’s law. Dokl. Math. 86, 661–662 (2012). https://doi.org/10.1134/S1064562412050183
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DOI: https://doi.org/10.1134/S1064562412050183