The distribution of zeros of the function $\zeta(1/2+it)$
Izvestiya. Mathematics, Tome 25 (1985) no. 3, pp. 519-529
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The author proves two theorems of a metric character on the distribution of zeros of odd order of the Riemann zeta-function that lie on the critical line. Bibliography: 5 titles.
@article{IM2_1985_25_3_a5,
author = {A. A. Karatsuba},
title = {The distribution of zeros of the function $\zeta(1/2+it)$},
journal = {Izvestiya. Mathematics},
pages = {519--529},
year = {1985},
volume = {25},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1985_25_3_a5/}
}
A. A. Karatsuba. The distribution of zeros of the function $\zeta(1/2+it)$. Izvestiya. Mathematics, Tome 25 (1985) no. 3, pp. 519-529. http://geodesic.mathdoc.fr/item/IM2_1985_25_3_a5/
[1] Hardy G. H., Littlewood J. E., “The zeros of Riemann's zeta-function on the critical line”, Math. Zs., 10 (1921), 283–317 | DOI | MR | Zbl
[2] Selberg A., “On the zeros of Riemann's zeta-function”, Skr. Norske Vid. Akad., 10, Oslo, 1942 | MR
[3] Mozer Ya., “Uluchshenie teoremy Khardi–Littlvuda o plotnosti nulei funktsii $\zeta(1/2+it)$”, Acta Math., 42,43 (1983), 41–50, Univ. Comen. Bratislava | MR
[4] Karatsuba A. A., “O nulyakh funktsii $\zeta(s)$ na korotkikh promezhutkakh kriticheskoi pryamoi”, Izv. AN SSSR. Ser. matem., 48:3 (1984), 569–584 | MR | Zbl
[5] Karatsuba A. A., Osnovy analiticheskoi teorii chisel, 2-e izd., Nauka, M., 1983 | MR