| Title:
|
O zakonomernostyakh upravlyayushchikh khaotichnostyu povedeniya funkcii $Z(t)$ i ee proizvodnyh (Russian) |
| Title:
|
Laws that govern the chaoticity of the behavior of the function $Z(t)$ and its derivatives (English) |
| Author:
|
Moser, Jan |
| Language:
|
Russian |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
209-230 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11L07 |
| MSC:
|
11M06 |
| MSC:
|
11M26 |
| idZBL:
|
Zbl 0820.11050 |
| idMR:
|
MR1281019 |
| DOI:
|
10.21136/CMJ.1994.128470 |
| . |
| Date available:
|
2009-09-24T09:37:59Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128470 |
| . |
| Reference:
|
[1] A. A. Karacuba: Osnovy analiticheskoĭ teorii chisel.Moskva, 1975. MR 0439767 |
| Reference:
|
[2] A. A. Karacuba: O rasstoyanii mezhdu sosednimi nulyami dzeta-funkcii Rimana, lezhashchimi na kriticheskoĭ pryamoĭ.Trudy MIAN 157 (1981), 49–63. |
| Reference:
|
[3] A. A. Karacuba: Dzeta-funkciya Rimana i ee nuli.Uspekhi matemat. nauk 40(5) (1985), 19–70. MR 0409394 |
| Reference:
|
[4] Yan Mozer: Ob odnom novom sdelstvii iz gipotezy Rimana.Acta Arith. 25 (1974), 307–311. |
| Reference:
|
[5] Yan Mozer: Nekotorye svoĭstva dzeta-funkcii Rimana na kriticheskoĭ pryamoĭ.Acta Arith. 26 (1974), 33–39. |
| Reference:
|
[6] Yan Mozer: Ob odnoĭ summe v teorii dzeta-funkcii Rimana.Acta Arith. 31 (1976), 31–43. MR 0730846 |
| Reference:
|
[7] Yan Mozer: Ob odnoĭ teoreme Khardi-Littlvuda v teorii dzeta-funkcii Rimana.Acta Arith. 31 (1976), 45–51. |
| Reference:
|
[8] Yan Mozer: O kornyakh uravneniya $Z^{\prime }(t)=0$.Acta Arith. 40 (1981), 79–89. MR 0667046 |
| Reference:
|
[9] Yan Mozer: Novye sledstviya iz formuly Rimana-Zigelya.Acta Arith. 42 (1982), 1–10. MR 0678993 |
| Reference:
|
[10] Yan Mozer: Dzeta-funkciya Rimana i uravneniya Èĭnshteĭna-Fridmana.Acta Math. Univ. Comen. 44–45 (1984), 115-125. |
| Reference:
|
[11] Yan Mozer: Novye teoremy o srednem v teorii dzeta-funkcii Rimana.Acta Math. Univ. Comen. 46–47 (1985), 21–40. |
| Reference:
|
[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 |
| Reference:
|
[13] Yan Mozer: Kubicheskie teoremy o srednem v teorii dzeta-funkcii Rimana.Acta Math. Univ. Comen. 50–51 (1987), 133-163. |
| Reference:
|
[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 |
| Reference:
|
[15] Yan Mozer: Kubicheskie korrelyacionnye formuly v teorii dzeta-funkcii Rimana.Acta Math. Univ. Comen. 52–53 (1988), 21–48. MR 0989623 |
| Reference:
|
[16] Yan Mozer: Dzeta-funkciya Rimana i uravneniya Èĭnshteĭna-Fridmana II.Acta Math. Univ. Comen. 52–53 (1988), 49–73. |
| Reference:
|
[17] Yan Mozer: Dzeta-funkciya Rimana i uravneniya Èĭnshteĭna-Fridmana III.Acta Math. Univ. Comen. 54–55 (1988), 53–71. |
| Reference:
|
[18] Yan Mozer: Nekotorye uravneniya sostoyaniya, opredelyaemye dzeta-funkcieĭ Rimana.Acta Math. Univ. Comen. 56–57 (1989), 23–45. MR 1083010 |
| Reference:
|
[19] Yan Mozer: Gipoteza Rimana i èkstremalnye znacheniya funkcii $Z(t)$.Acta Arith. 56 (1990), 225–236. |
| Reference:
|
[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 |
| Reference:
|
[21] E. K. Titchmarsh: Teoriya dzeta-funkcii Rimana.IL, Moskva, 1953. |
| Reference:
|
[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. |
| Reference:
|
[23] G. H. Hardy: Sur les zeros de la fonction $\zeta (s)$ de Riemann.C.R. Acad. Sci. 158 (1914), 1012–1014. |
| Reference:
|
[24] D. H. Lehmer: On the roots of the Riemann zeta-function.Acta Math. 95 (1956), 291–298. Zbl 0071.06603, MR 0086082, 10.1007/BF02401102 |
| Reference:
|
[25] A. Selberg: The zeta-function and the Riemann hypothesis.10. Skand. Math. Kongr, 1946, pp. 187–200. MR 0019676 |
| Reference:
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[26] E. C. Titchmarsh: On van der Corput’s method and the zeta-function of Riemann (IV).Quart. J. Math. 5 (1934), 98–105. Zbl 0009.19703, 10.1093/qmath/os-5.1.98 |
| Reference:
|
[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 |
| Reference:
|
[28] : The Riemann zeta-function on the critical line, plotted with Mathematica.Wolfram Research, 1990. |
| . |
