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Moser, Jan. O zakonomernostyakh upravlyayushchikh khaotichnostyu povedeniya funkcii $Z(t)$ i ee proizvodnyh. Czechoslovak Mathematical Journal, Tome 44 (1994) no. 2, pp. 209-230. doi: 10.21136/CMJ.1994.128470
@article{10_21136_CMJ_1994_128470,
author = {Moser, Jan},
title = {O zakonomernostyakh upravlyayushchikh khaotichnostyu povedeniya funkcii $Z(t)$ i ee proizvodnyh},
journal = {Czechoslovak Mathematical Journal},
pages = {209--230},
year = {1994},
volume = {44},
number = {2},
doi = {10.21136/CMJ.1994.128470},
mrnumber = {1281019},
zbl = {0820.11050},
language = {ru},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128470/}
}
TY - JOUR AU - Moser, Jan TI - O zakonomernostyakh upravlyayushchikh khaotichnostyu povedeniya funkcii $Z(t)$ i ee proizvodnyh JO - Czechoslovak Mathematical Journal PY - 1994 SP - 209 EP - 230 VL - 44 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128470/ DO - 10.21136/CMJ.1994.128470 LA - ru ID - 10_21136_CMJ_1994_128470 ER -
%0 Journal Article %A Moser, Jan %T O zakonomernostyakh upravlyayushchikh khaotichnostyu povedeniya funkcii $Z(t)$ i ee proizvodnyh %J Czechoslovak Mathematical Journal %D 1994 %P 209-230 %V 44 %N 2 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128470/ %R 10.21136/CMJ.1994.128470 %G ru %F 10_21136_CMJ_1994_128470
[1] A. A. Karacuba: Osnovy analiticheskoĭ teorii chisel. Moskva, 1975. | MR
[2] A. A. Karacuba: O rasstoyanii mezhdu sosednimi nulyami dzeta-funkcii Rimana, lezhashchimi na kriticheskoĭ pryamoĭ. Trudy MIAN 157 (1981), 49–63.
[3] A. A. Karacuba: Dzeta-funkciya Rimana i ee nuli. Uspekhi matemat. nauk 40(5) (1985), 19–70. | MR
[4] Yan Mozer: Ob odnom novom sdelstvii iz gipotezy Rimana. Acta Arith. 25 (1974), 307–311.
[5] Yan Mozer: Nekotorye svoĭstva dzeta-funkcii Rimana na kriticheskoĭ pryamoĭ. Acta Arith. 26 (1974), 33–39.
[6] Yan Mozer: Ob odnoĭ summe v teorii dzeta-funkcii Rimana. Acta Arith. 31 (1976), 31–43. | MR
[7] Yan Mozer: Ob odnoĭ teoreme Khardi-Littlvuda v teorii dzeta-funkcii Rimana. Acta Arith. 31 (1976), 45–51.
[8] Yan Mozer: O kornyakh uravneniya $Z^{\prime }(t)=0$. Acta Arith. 40 (1981), 79–89. | MR
[9] Yan Mozer: Novye sledstviya iz formuly Rimana-Zigelya. Acta Arith. 42 (1982), 1–10. | MR
[10] Yan Mozer: Dzeta-funkciya Rimana i uravneniya Èĭnshteĭna-Fridmana. Acta Math. Univ. Comen. 44–45 (1984), 115-125.
[11] Yan Mozer: Novye teoremy o srednem v teorii dzeta-funkcii Rimana. Acta Math. Univ. Comen. 46–47 (1985), 21–40.
[12] Yan Mozer: O povedenii polozhitelnykh i otricatelnykh znacheniĭ funkcii $Z(t)$ v teorii dzeta-funkcii Rimana. Acta Math. Univ. Comen. 46–47 (1985), 41–48. | MR
[13] Yan Mozer: Kubicheskie teoremy o srednem v teorii dzeta-funkcii Rimana. Acta Math. Univ. Comen. 50–51 (1987), 133-163.
[14] Yan Mozer: Ob integralnom ravnovesii funkcii $Z(t)$ v teorii dzeta-funkcii Rimana. Acta Math. Univ. Comen. 50–51 (1987), 165–175. | MR
[15] Yan Mozer: Kubicheskie korrelyacionnye formuly v teorii dzeta-funkcii Rimana. Acta Math. Univ. Comen. 52–53 (1988), 21–48. | MR
[16] Yan Mozer: Dzeta-funkciya Rimana i uravneniya Èĭnshteĭna-Fridmana II. Acta Math. Univ. Comen. 52–53 (1988), 49–73.
[17] Yan Mozer: Dzeta-funkciya Rimana i uravneniya Èĭnshteĭna-Fridmana III. Acta Math. Univ. Comen. 54–55 (1988), 53–71.
[18] Yan Mozer: Nekotorye uravneniya sostoyaniya, opredelyaemye dzeta-funkcieĭ Rimana. Acta Math. Univ. Comen. 56–57 (1989), 23–45. | MR
[19] Yan Mozer: Gipoteza Rimana i èkstremalnye znacheniya funkcii $Z(t)$. Acta Arith. 56 (1990), 225–236.
[20] Yan Mozer: O poryadke odnoĭ summy E. K. Titchmarsha v teorii dzeta-funkcii Rimana. Czech. Math. Journal 41(116) (1991), 663–684. | MR
[21] E. K. Titchmarsh: Teoriya dzeta-funkcii Rimana. IL, Moskva, 1953.
[22] P. L. Chebyshev: O priblizhennykh vyrazheniyakh kvadratnogo kornya peremennoĭ cherez prostye drobi. Polnoe sobranie sochineniĭ P. L. Chebysheva, t. 3, Izdatelstvo AN SSSR, Moskva, Leningrad, 1948.
[23] G. H. Hardy: Sur les zeros de la fonction $\zeta (s)$ de Riemann. C.R. Acad. Sci. 158 (1914), 1012–1014.
[24] D. H. Lehmer: On the roots of the Riemann zeta-function. Acta Math. 95 (1956), 291–298. | DOI | MR | Zbl
[25] A. Selberg: The zeta-function and the Riemann hypothesis. 10. Skand. Math. Kongr, 1946, pp. 187–200. | MR
[26] E. C. Titchmarsh: On van der Corput’s method and the zeta-function of Riemann (IV). Quart. J. Math. 5 (1934), 98–105. | DOI | Zbl
[27] E. C. Titchmarsh: The zeros of the Riemann zeta-function. Proc. Royal Soc. (A) 151 (1935), 234–255, 157(1936), 261–263. | Zbl
[28] The Riemann zeta-function on the critical line, plotted with Mathematica. Wolfram Research, 1990.
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