Wentang Kuo

activity

20152025

most citedThe Multiplicative Jordan Decomposition in the Integral Group Ring

Z [Q_{8} \times C_{p}]

2 citations · 3 across the 10 of their papers we have counts for

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9 papers · 1 filter

math.NT2025

On the distribution of the total number of generators of $h$ -free and $h$ -full elements in an abelian monoid

Sourabhashis Das, Wentang Kuo, Yu-Ru Liu

Let $m$ be an element of an abelian monoid, with $Ω (m)$ denoting the total number of prime elements generating $m$ . We study the moments of $Ω(\mat…

math.NT2025

A subset generalization of the Erdős-Kac theorem over number fields with applications

Sourabhashis Das, Wentang Kuo, Yu-Ru Liu

Let $ω (n)$ denote the number of distinct prime factors of a natural number $n$ . In 1940, Erdős and Kac established that $ω (n)$ obeys the Gaussian distribution over natural numbers.…

math.NT2025

Generalizations of Erdős-Kac theorem with applications

Sourabhashis Das, Wentang Kuo, Yu-Ru Liu

Let $ω (n)$ denote the number of distinct prime factors of a natural number $n$ . In 1940, Erdős and Kac established that $ω (n)$ obeys the Gaussian distribution over natural numbers,…

math.NT2025

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid

Sourabhashis Das, Wentang Kuo, Yu-Ru Liu

This work introduces the first in-depth study of h-free and h-full elements in abelian monoids, providing a unified approach for understanding their role in various mathematical st…

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…

math.NT2015

Sidon basis in polynomial rings over finite fields

Wentang Kuo, Shuntaro Yamagishi

Let $F_{q} [t]$ denote the ring of polynomials over $F_{q}$ , the finite field of $q$ elements. Suppose the characteristic of $F_{q}$ is not $2$ or $3$ . In this…

math.NT2015

On a problem of Sidon for polynomials over finite fields

Wentang Kuo, Shuntaro Yamagishi

Let $ω$ be a sequence of positive integers. Given a positive integer $n$ , we define $r_{n} (ω) = ∣ {(a, b) \in N \times N : a, b \in ω, a + b = n, 0 < a < b} ∣.$ S…

On the distribution of the total number of generators of h-free and h-full elements in an abelian monoid

A subset generalization of the Erdős-Kac theorem over number fields with applications

Generalizations of Erdős-Kac theorem with applications

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid

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

Sidon basis in polynomial rings over finite fields

On a problem of Sidon for polynomials over finite fields

On the distribution of the total number of generators of $h$ -free and $h$ -full elements in an abelian monoid

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