Somphong Jitman

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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.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…