Somphong Jitman

collaborators

5 papers

math.NT2026

Good Integers: (T,k)-Subclasses and Applications to Galois Duality in Coding Theory

Somphong Jitman, Panthakan Boonsuriyatham

The notion of good integers, namely the divisors of the sequence $(a^{s} + b^{s})_{s \geq 1}$ for nonzero coprime integers $a$ and $b$ , together with their subfamilies such as oddly-good a…

math.RA2026

Explicit Determinants of Homogeneous Polynomial Evaluation Matrices and Applications

Somphong Jitman, Wannarut Rungrottheera

In this work, the determinants of matrices constructed by evaluating homogeneous bivariate polynomials at pairs of vectors are investigated. For a polynomial $p(x,y)=\sum\limits_{i…

math.NT2025

Good Integers: A Concise Completion of the Non-Coprime Case

Somphong Jitman

For coprime nonzero integers $a$ and $b$ , a positive integer $ℓ$ is said to be {\em good} with respect to $a$ and $b$ if there exists a positive integer $k$ such that $\ell |(a^…

math.NT2025

Good Integers: A Comprehensive Review with Applications

Somphong Jitman

For nonzero coprime integers $a$ and $b$ , a positive integer $ℓ$ is said to be \emph{good with respect to $a$ and $b$ } if there exists a positive integer $k$ such that $ℓ$ di…

math.RA2025

On the Enumeration of Symmetric Tridiagonal Matrices with prescribed Determinant over Commutative Finite Chain Rings

Edgar Martinez-Moro, Neennara Rodnit, Somphong Jitman

Determinants of structured matrices play a fundamental role in both pure and applied mathematics, with wide-ranging applications in linear algebra, combinatorics, coding theory, an…