Yotsanan Meemark

collaborators

4 papers

math.NT2025

Variance of square-full integers in short intervals and arithmetic progressions

Yotsanan Meemark, Watcharakiete Wongcharoenbhorn

Define a natural number $n$ as a \textit{square-full} integer if for every prime $p$ such that $p ∣ n$ , we have $p^{2} ∣ n$ . In this paper, we establish an upper bound on the variance of…

math.NT2025

Square-full values of quadratic polynomials

Watcharakiete Wongcharoenbhorn, Yotsanan Meemark

A $square-full$ number is a positive integer for which all its prime divisors divide itself at least twice. The counting function of square-full integers of the form $f(n)…

math.NT2024

An average number of square-free values of polynomials

Watcharakiete Wongcharoenbhorn, Yotsanan Meemark

The well-known result states that the square-free counting function up to $N$ is $N / I^¶ (2) + O (N^{1/2})$ . This corresponds to the identity polynomial $Id (x)$ . It is expected th…

math.RA2024

Classical orthogonal decomposition of a modular $sl_{n}$

Yotsanan Meemark, Songpon Sriwongsa

An orthogonal decomposition problem of Lie algebras over the complex numbers has been studied since the 1980s. It has many applications and relations to other areas of mathematics…

Variance of square-full integers in short intervals and arithmetic progressions

Square-full values of quadratic polynomials

An average number of square-free values of polynomials

Classical orthogonal decomposition of a modular sln​

Classical orthogonal decomposition of a modular $sl_{n}$