Note on the prime divisors of Farey fractions

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 ꞓ 2 (lambda1; lambda2), n ≤ x, are considered. It is proved that under some conditions on lambdai the limit distribu...

Full description

Bibliographic Details
Main Authors: Vytautas Kazakevičius, Vilius Stakėnas
Format: Article
Language:English
Published: Vilnius University Press 2011-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/14853