episciences.org_7433_1634892531
1634892531
episciences.org
raphael.tournoy+crossrefapi@ccsd.cnrs.fr
episciences.org
Hardy-Ramanujan Journal
10.46298/journals/hrj
https://hrj.episciences.org
05
06
2021
Volume 43 - Special...
A localized Erdős-Kac theorem
Anup B
Dixit
M
Ram Murty
Let ω_y (n) be the number of distinct prime divisors of n not exceeding y. If y_n is an increasing function of n such that log y_n = o(log n), we study the distribution of ω_{y_n} (n) and establish an analog of the Erdős-Kac theorem for this function. En route, we also prove a variant central limit theorem for random variables, which are not necessarily independent, but are well approximated by independent random variables.
05
06
2021
7433
https://hal.archives-ouvertes.fr/hal-03208199v1
10.46298/hrj.2021.7433
https://hrj.episciences.org/7433