Sourabhashis Das

collaborators

2 papers

math.NT2024

On the number of prime factors with a given multiplicity over h-free and h-full numbers

Sourabhashis Das, Wentang Kuo, Yu-Ru Liu

Let $k$ and $n$ be natural numbers. Let $ω_{k} (n)$ denote the number of distinct prime factors of $n$ with multiplicity $k$ as studied by Elma and the third author. We obtain asympto…

math.NT2024

Distribution of $ω (n)$ over $h$ -free and $h$ -full numbers

Sourabhashis Das, Wentang Kuo, Yu-Ru Liu

Let $ω (n)$ denote the number of distinct prime factors of a natural number $n$ . In 1917, Hardy and Ramanujan proved that $ω (n)$ has normal order $lo g lo g n$ over naturals. In thi…

On the number of prime factors with a given multiplicity over h-free and h-full numbers

Distribution of ω(n) over h-free and h-full numbers

Distribution of $ω (n)$ over $h$ -free and $h$ -full numbers