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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Showing 2025Show all

4 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…

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