Chatchawan Panraksa

collaborators

8 papers

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.MG2026

Wetzel's 30-60-90 Triangle Covers Unit Arcs

Wacharin Wichiramala, Chatchawan Panraksa

John E. Wetzel conjectured that the 30-60-90 triangle T obtained by placing a square of side 1/3 on the hypotenuse covers every unit arc in the plane. We give a computer-assisted p…

math.PR2026

Finite-sample Borel--Cantelli inequalities under mixing conditions

Chatchawan Panraksa

We prove explicit one-lag, finite- $N$ lower bounds for $P (⋃_{k = 1}^{N} A_{k})$ that use only the marginal probabilities $P (A_{k})$ and a single selected-lag dep…

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…

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

Wetzel's 30-60-90 Triangle Covers Unit Arcs

Finite-sample Borel--Cantelli inequalities under mixing conditions

Integrality of Averages of Roots of Unity and Perfect Isometries

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

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 $Y^{2} = X^{3} + 4 X^{2} + 16 t^{2}$