Yu-Ru Liu

activity

20132025

most citedEquidistribution of polynomial sequences in function fields, with applications

5 citations · 6 across the 9 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

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…

math.NT2024★ 1 cited

On the number of irreducible factors with a given multiplicity in function fields

Sourabhashis Das, Ertan Elma, Wentang Kuo +1

Let $k \geq 1$ be a natural number and $f \in F_{q} [t]$ be a monic polynomial. Let $ω_{k} (f)$ denote the number of distinct monic irreducible factors of $f$ with multiplicity…

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

On the number of irreducible factors with a given multiplicity in function fields

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