On a Result of Hardy and Ramanujan

Abstract

In this paper, we introduce some explicit approximations for the summation ${\sum }_{k\le n}\Omega (k)$, where $\Omega (k)$ is the total number of prime factors of $k$.

arXiv commentProject Report. Accepted for publication in the Sarajevo Journal of Mathematics

References in corpus (1)

• On the decomposition of $n!$ into primes