[go: up one dir, main page]

 

  Previous |  Up |  Next

Article

References:
[1] A. A. Karacuba: Osnovy analiticheskoĭ teorii chisel. Moskva, 1975. MR 0439767
[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 0409394
[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 0730846
[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 0667046
[9] Yan Mozer: Novye sledstviya iz formuly Rimana-Zigelya. Acta Arith. 42 (1982), 1–10. MR 0678993
[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 0872329
[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 0989412
[15] Yan Mozer: Kubicheskie korrelyacionnye formuly v teorii dzeta-funkcii Rimana. Acta Math. Univ. Comen. 52–53 (1988), 21–48. MR 0989623
[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 1083010
[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 1134956
[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 10.1007/BF02401102 | MR 0086082 | Zbl 0071.06603
[25] A. Selberg: The zeta-function and the Riemann hypothesis. 10. Skand. Math. Kongr, 1946, pp. 187–200. MR 0019676
[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 10.1093/qmath/os-5.1.98 | Zbl 0009.19703
[27] E. C. Titchmarsh: The zeros of the Riemann zeta-function. Proc. Royal Soc. (A) 151 (1935), 234–255, 157(1936), 261–263. Zbl 0012.29701
[28] The Riemann zeta-function on the critical line, plotted with Mathematica. Wolfram Research, 1990.
Partner of
EuDML logo