4 citations · 8 across the 10 of their papers we have counts for
10 papers
Variance of square-full integers in short intervals and arithmetic progressions
Yotsanan Meemark, Watcharakiete Wongcharoenbhorn
Define a natural number as a \textit{square-full} integer if for every prime such that , we have . In this paper, we establish an upper bound on the variance of…
Classical orthogonal decomposition of a modular
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…
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 is . This corresponds to the identity polynomial . It is expected tha…
Square-full values of quadratic polynomials
Watcharakiete Wongcharoenbhorn, Yotsanan Meemark
A 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)…
Mahler measures of a family of non-tempered polynomials and Boyd's conjectures
Yotsanan Meemark, Detchat Samart
We prove an identity relating Mahler measures of a certain family of non-tempered polynomials to those of tempered polynomials. Evaluations of Mahler measures of some polynomials i…
Cogredient Standard Forms of Orthogonal Matrices over Finite Local Rings of Odd Characteristic
Yotsanan Meemark, Songpon Sriwongsa
In this work, we present a cogredient standard form of an orthogonal space over a finite local ring of odd characteristic.