Chatchawan Panraksa

most citedA finite-sample Borel--Cantelli inequality under

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-dependence

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math.NT2026

The $5$ -divisible integer group determinants for the elementary abelian group of order 25

Chatchawan Panraksa

Let $G = C_{5} \times C_{5}$ , and let $S (G)$ denote the set of integer values of its group determinant. Previous work determines the values in $S (G)$ coprime to $5$ and proves that every…

math.NT2026

Rational 2-Cycles for $x^{3} + b x + a$ and the Elliptic Family $Y^{2} = X^{3} + 4 X^{2} + 16 t^{2}$

Sompong Chuysurichay, Sawian Jaidee, Chatchawan Panraksa +1

We study rational $2$ -cycles for the cubic family $f_{b, a} (x) = x^{3} + b x + a$ , where $a, b \in Q$ , via the arithmetic of elliptic curves. For fixed $a \neq = 0$ , we give explicit birat…

math.NT2026

Integrality of Averages of Roots of Unity and Perfect Isometries

Chatchawan Panraksa, Pornrat Ruengrot

We establish a criterion for the integrality of averages of roots of unity and apply it to settle a conjecture regarding the linearity of functions on $Z_{n}$ . Specifically,…

math.NT2026

Fixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powers

Chatchawan Panraksa, Aram Tangboonduangjit

Let $p$ be an odd prime, let $n \geq 2$ , and let the $n$ th Chebyshev polynomial $T_{n}$ act on $Z / p^{k} Z$ . We count fixed and exact-periodic points, allowing non-permutation degrees, an…

math.NT2026

Arithmetic exceptionality of LattÃ¨s maps

Chatchawan Panraksa, Detchat Samart, Songpon Sriwongsa

Let $F_{q}$ denote a finite field of order $q$ . A rational function $r (x) \in Q (x)$ is said to be arithmetically exceptional if it induces a permutation on $\mathbb{…

math.NT2024

Orbits of Second Order Linear Recurrences over Finite Fields

Chatchawan Panraksa, Naveen Somasunderam

Let $Q$ be the matrix $(a 1 b 0)$ in $G L_{2} (F_{q})$ where $F_{q}$ is a finite field, and let $G$ be the finite cyclic…

The 5-divisible integer group determinants for the elementary abelian group of order 25

Rational 2-Cycles for x3+bx+a and the Elliptic Family Y2=X3+4X2+16t2

Integrality of Averages of Roots of Unity and Perfect Isometries

Fixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powers

Arithmetic exceptionality of LattÃ¨s maps

Orbits of Second Order Linear Recurrences over Finite Fields

The $5$ -divisible integer group determinants for the elementary abelian group of order 25

Rational 2-Cycles for $x^{3} + b x + a$ and the Elliptic Family $Y^{2} = X^{3} + 4 X^{2} + 16 t^{2}$