The absolute continuity of a limit law for Sylvester series
Compositio Mathematica, Tome 35 (1977) no. 2, pp. 125-128. 
@article{CM_1977__35_2_125_0,
     author = {Galambos, Janos},
     title = {The absolute continuity of a limit law for {Sylvester} series},
     journal = {Compositio Mathematica},
     pages = {125--128},
     publisher = {Noordhoff International Publishing},
     volume = {35},
     number = {2},
     year = {1977},
     mrnumber = {463132},
     zbl = {0331.10029},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1977__35_2_125_0/}
}
TY  - JOUR
AU  - Galambos, Janos
TI  - The absolute continuity of a limit law for Sylvester series
JO  - Compositio Mathematica
PY  - 1977
SP  - 125
EP  - 128
VL  - 35
IS  - 2
PB  - Noordhoff International Publishing
UR  - http://archive.numdam.org/item/CM_1977__35_2_125_0/
LA  - en
ID  - CM_1977__35_2_125_0
ER  - 
%0 Journal Article
%A Galambos, Janos
%T The absolute continuity of a limit law for Sylvester series
%J Compositio Mathematica
%D 1977
%P 125-128
%V 35
%N 2
%I Noordhoff International Publishing
%U http://archive.numdam.org/item/CM_1977__35_2_125_0/
%G en
%F CM_1977__35_2_125_0
Galambos, Janos. The absolute continuity of a limit law for Sylvester series. Compositio Mathematica, Tome 35 (1977) no. 2, pp. 125-128. http://archive.numdam.org/item/CM_1977__35_2_125_0/

[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. | MR | Zbl

[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. | MR | Zbl

[3] J. Galambos: Further ergodic results on the Oppenheim series. Quart. J. Math. Oxford Second Ser. 25 (1974) 135-141. | MR | Zbl

[4] A. Rényi: Wahrscheinlichkeitsrechnung mit einem Anhang über Informationstheorie. VEB Deutscher Verlag der Wissenschaften, Berlin, 1962. | MR | Zbl

[5] W. Vervaat: Success epochs in Bernoulli trials with applications in number theory, Mathematical Centre Tracts, Vol. 42, Mathematisch Centrum Amsterdam 1972. | MR | Zbl