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math.NT2025
Good Integers: A Concise Completion of the Non-Coprime Case
Somphong Jitman
For coprime nonzero integers and , a positive integer is said to be {\em good} with respect to and if there exists a positive integer such that $\ell |(a^…
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…
math.NT2025
Good Integers: A Comprehensive Review with Applications
Somphong Jitman
For nonzero coprime integers and , a positive integer is said to be \emph{good with respect to and } if there exists a positive integer such that di…