Some applications of the individual ergodic theorem to problems in number theory

Johann Cigler

Compositio Mathematica (1964)

  • Volume: 16, page 35-43
  • ISSN: 0010-437X

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Cigler, Johann. "Some applications of the individual ergodic theorem to problems in number theory." Compositio Mathematica 16 (1964): 35-43. <http://eudml.org/doc/88899>.

@article{Cigler1964,
author = {Cigler, Johann},
journal = {Compositio Mathematica},
keywords = {number theory},
language = {eng},
pages = {35-43},
publisher = {Kraus Reprint},
title = {Some applications of the individual ergodic theorem to problems in number theory},
url = {http://eudml.org/doc/88899},
volume = {16},
year = {1964},
}

TY - JOUR
AU - Cigler, Johann
TI - Some applications of the individual ergodic theorem to problems in number theory
JO - Compositio Mathematica
PY - 1964
PB - Kraus Reprint
VL - 16
SP - 35
EP - 43
LA - eng
KW - number theory
UR - http://eudml.org/doc/88899
ER -

References

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  6. A.O. Gelfond [6] Über eine allgemeine Eigenschaft von Zahlsystemen, (russ.), Izvest. Akad. Nauk SSSR, Ser. mat.23, 809 - 814 (1959). Zbl0092.27702
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  12. A.M. Polosuev [12] On the uniformity of the distribution of a system of functions forming the solution of a system of linear finite-difference equations of first order. Dokl. Akad. Nauk SSSR123, 405-406 (1958). Zbl0088.03804MR109147
  13. A.G. Postnikow [13] A criterion for the uniform distribution of an exponential function in the complex domain, Vestn. Leningr. Univ.13, 81— 88 (1957). Zbl0093.05302
  14. A.G. Postnikow [14] A criterion for a completely uniformly distributed sequence, Dokl. Akad. Nauk SSSR120, 973-975 (1958). Zbl0090.35504MR101858
  15. A.G. Postnikow and I.I. Pyateckii [15] Markov-sequence of symbols and continued fractions, Izvest. Akad. Nauk SSSR21, 729-746 (1957). Zbl0084.13601MR101857
  16. I.I. Pyateckii [16] On the distribution functions of the fractional parts of an exponential function, Izvest. Akad. Nauk SSSR15, 47-52 (1951). Zbl0042.04902
  17. A. Rényi [17] Representations for real numbers and their ergodic properties, Acta math. (hung.) 8, 477-493 (1957). Zbl0079.08901MR97374
  18. W.A. Rochlin [18] On endomorphisms of compact Abelian groups, Izvest. Akad. Nauk SSSR13, 329 - 340 (1949). 
  19. C. Ryll-Nardzewski [19] On the ergodic theorems II, Studia math.12, 74-79 (1951). Zbl0044.12401MR46583

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