The absolute continuity of a limit law for Sylvester series

Janos Galambos

Compositio Mathematica (1977)

  • Volume: 35, Issue: 2, page 125-128
  • ISSN: 0010-437X

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Galambos, Janos. "The absolute continuity of a limit law for Sylvester series." Compositio Mathematica 35.2 (1977): 125-128. <http://eudml.org/doc/89341>.

@article{Galambos1977,
author = {Galambos, Janos},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {125-128},
publisher = {Noordhoff International Publishing},
title = {The absolute continuity of a limit law for Sylvester series},
url = {http://eudml.org/doc/89341},
volume = {35},
year = {1977},
}

TY - JOUR
AU - Galambos, Janos
TI - The absolute continuity of a limit law for Sylvester series
JO - Compositio Mathematica
PY - 1977
PB - Noordhoff International Publishing
VL - 35
IS - 2
SP - 125
EP - 128
LA - eng
UR - http://eudml.org/doc/89341
ER -

References

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  1. [1] P. Erdös, A. Rényi and P. Szüsz: On Engel's and Sylvester's series. Annales Univ. Sci. Budapest, Sectio Math.1 (1958) 7-12. Zbl0107.27002MR102496
  2. [2] J. Galambos: The ergodic properties of the denominators in the Oppenheim expansion of real numbers into infinite series of rationals. Quart. J. Math. Oxford Second Ser.21 (1970) 177-191. Zbl0198.38104MR258777
  3. [3] J. Galambos: Further ergodic results on the Oppenheim series. Quart. J. Math. Oxford Second Ser.25 (1974) 135-141. Zbl0281.10028MR347759
  4. [4] A. Rényi: Wahrscheinlichkeitsrechnung mit einem Anhang über Informationstheorie. VEB Deutscher Verlag der Wissenschaften, Berlin, 1962. Zbl0215.53101MR148088
  5. [5] W. Vervaat: Success epochs in Bernoulli trials with applications in number theory, Mathematical Centre Tracts, Vol. 42, Mathematisch CentrumAmsterdam1972. Zbl0267.60003MR328989

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