Sur les plus grands facteurs premiers d'un entier |
| |
Authors: | Jean-Marie De Koninck |
| |
Institution: | (1) Départment de Mathématiques et de Statistique Cité universitaire, Université Laval, G1K 7P4 Québec, Canada |
| |
Abstract: | Let
and, for each integern such that (n) k, denote byP
k
(n) itsk
th largest prime factor. Further, given a set of primesQ of positive density <1 satisfying a certain regularity condition, defineP(n, Q), as the largest prime divisor ofn belonging toQ, assuming thatP(n,Q)=+ if no such prime factor exists. We provide estimates of
, fork 2, and of
. We also study the median value of the functionP(n,Q) and that of the functionP
k
(n) for eachk 1. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|