| Title |
Note on the prime divisors of Farey fractions / |
| Translation of Title |
Farey trupmenų pirminiai dalikliai. |
| Authors |
Kazakevičius, Vytautas ; Stakėnas, Vilius |
| DOI |
10.15388/LMR.2011.al03 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. LMD darbai.. Vilnius : Matematikos ir informatikos institutas. 2011, t. 52, p. 13-18.. ISSN 0132-2818 |
| Keywords [eng] |
Rational numbers ; Prime divisors ; Poisson-Dirichlet distribution |
| Abstract [eng] |
Let P1(n) > P2(n) > · · · be the prime divisors of a natural number n arranged in the non-increasing order. The limit distribution of the sequences (log Pi(mn)/ log(mn), i > 1) for m/n 2 ( 1; 2), n 6 x, are considered. It is proved that under some conditions on i the limit distribution of the sequences exists and is closely related to the Poisson–Dirichlet distribution. |
| Published |
Vilnius : Matematikos ir informatikos institutas |
| Type |
Journal article |
| Language |
English |
| Publication date |
2011 |
| CC license |
|
