Laws that govern the chaoticity of the behavior of the function Z ( t ) and its derivatives

Ján Mozer

Czechoslovak Mathematical Journal (1994)

  • Volume: 44, Issue: 2, page 209-230
  • ISSN: 0011-4642

How to cite

top

Mozer, Ján. "O zakonomernostyakh upravlyayushchikh khaotichnostyu povedeniya funkcii $Z(t)$ i ee proizvodnyh." Czechoslovak Mathematical Journal 44.2 (1994): 209-230. <http://eudml.org/doc/31417>.

@article{Mozer1994,
author = {Mozer, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {-function; zeta-sums; geometric properties of the graph; estimates of exponential sums; Riemann's zeta-function},
language = {rus},
number = {2},
pages = {209-230},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {O zakonomernostyakh upravlyayushchikh khaotichnostyu povedeniya funkcii $Z(t)$ i ee proizvodnyh},
url = {http://eudml.org/doc/31417},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Mozer, Ján
TI - O zakonomernostyakh upravlyayushchikh khaotichnostyu povedeniya funkcii $Z(t)$ i ee proizvodnyh
JO - Czechoslovak Mathematical Journal
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 2
SP - 209
EP - 230
LA - rus
KW - -function; zeta-sums; geometric properties of the graph; estimates of exponential sums; Riemann's zeta-function
UR - http://eudml.org/doc/31417
ER -

References

top
  1. Osnovy analiticheskoĭ teorii chisel, Moskva, 1975. (1975) MR0439767
  2. O rasstoyanii mezhdu sosednimi nulyami dzeta-funkcii Rimana, lezhashchimi na kriticheskoĭ pryamoĭ, Trudy MIAN 157 (1981), 49–63. (1981) 
  3. Dzeta-funkciya Rimana i ee nuli, Uspekhi matemat. nauk 40(5) (1985), 19–70. (1985) MR0409394
  4. Ob odnom novom sdelstvii iz gipotezy Rimana, Acta Arith. 25 (1974), 307–311. (1974) 
  5. Nekotorye svoĭstva dzeta-funkcii Rimana na kriticheskoĭ pryamoĭ, Acta Arith. 26 (1974), 33–39. (1974) 
  6. Ob odnoĭ summe v teorii dzeta-funkcii Rimana, Acta Arith. 31 (1976), 31–43. (1976) MR0730846
  7. Ob odnoĭ teoreme Khardi-Littlvuda v teorii dzeta-funkcii Rimana, Acta Arith. 31 (1976), 45–51. (1976) 
  8. O kornyakh uravneniya Z ' ( t ) = 0 , Acta Arith. 40 (1981), 79–89. (1981) MR0667046
  9. Novye sledstviya iz formuly Rimana-Zigelya, Acta Arith. 42 (1982), 1–10. (1982) MR0678993
  10. Dzeta-funkciya Rimana i uravneniya Èĭnshteĭna-Fridmana, Acta Math. Univ. Comen. 44–45 (1984), 115-125. (1984) 
  11. Novye teoremy o srednem v teorii dzeta-funkcii Rimana, Acta Math. Univ. Comen. 46–47 (1985), 21–40. (1985) 
  12. O povedenii polozhitelnykh i otricatelnykh znacheniĭ funkcii Z ( t ) v teorii dzeta-funkcii Rimana, Acta Math. Univ. Comen. 46–47 (1985), 41–48. (1985) MR0872329
  13. Kubicheskie teoremy o srednem v teorii dzeta-funkcii Rimana, Acta Math. Univ. Comen. 50–51 (1987), 133-163. (1987) 
  14. Ob integralnom ravnovesii funkcii Z ( t ) v teorii dzeta-funkcii Rimana, Acta Math. Univ. Comen. 50–51 (1987), 165–175. (1987) MR0989412
  15. Kubicheskie korrelyacionnye formuly v teorii dzeta-funkcii Rimana, Acta Math. Univ. Comen. 52–53 (1988), 21–48. (1988) MR0989623
  16. Dzeta-funkciya Rimana i uravneniya Èĭnshteĭna-Fridmana II, Acta Math. Univ. Comen. 52–53 (1988), 49–73. (1988) 
  17. Dzeta-funkciya Rimana i uravneniya Èĭnshteĭna-Fridmana III, Acta Math. Univ. Comen. 54–55 (1988), 53–71. (1988) 
  18. Nekotorye uravneniya sostoyaniya, opredelyaemye dzeta-funkcieĭ Rimana, Acta Math. Univ. Comen. 56–57 (1989), 23–45. (1989) MR1083010
  19. Gipoteza Rimana i èkstremalnye znacheniya funkcii Z ( t ) , Acta Arith. 56 (1990), 225–236. (1990) 
  20. O poryadke odnoĭ summy E. K. Titchmarsha v teorii dzeta-funkcii Rimana, Czech. Math. Journal 41(116) (1991), 663–684. (1991) MR1134956
  21. Teoriya dzeta-funkcii Rimana, IL, Moskva, 1953. (1953) 
  22. O priblizhennykh vyrazheniyakh kvadratnogo kornya peremennoĭ cherez prostye drobi, Polnoe sobranie sochineniĭ P. L. Chebysheva, t. 3, Izdatelstvo AN SSSR, Moskva, Leningrad, 1948. (1948) 
  23. Sur les zeros de la fonction ζ ( s ) de Riemann, C.R. Acad. Sci. 158 (1914), 1012–1014. (1914) 
  24. 10.1007/BF02401102, Acta Math. 95 (1956), 291–298. (1956) Zbl0071.06603MR0086082DOI10.1007/BF02401102
  25. The zeta-function and the Riemann hypothesis, 10. Skand. Math. Kongr, 1946, pp. 187–200. (1946) MR0019676
  26. 10.1093/qmath/os-5.1.98, Quart. J. Math. 5 (1934), 98–105. (1934) Zbl0009.19703DOI10.1093/qmath/os-5.1.98
  27. The zeros of the Riemann zeta-function, Proc. Royal Soc. (A) 151 (1935), 234–255, 157(1936), 261–263. (1935) Zbl0012.29701
  28. The Riemann zeta-function on the critical line, plotted with Mathematica, Wolfram Research, 1990. (1990) 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.