Chatchawan Panraksa

activity

20162026

most citedA finite-sample Borel--Cantelli inequality under

m

-dependence

2 citations · 3 across the 16 of their papers we have counts for

collaborators

19 papers

math.AC2026

Some Remarks on Regular Sequences and Complete Intersections

Manolis C. Tsakiris

We give an ideal in a polynomial ring in three variables, generated by three elements and having height equal to three, but for which no permutation of its generators is a regular…

math.NT2026

Split-Cubic Curves from D(n)-Triples: A Bounded Finite-Field Census

Sompong Chuysurichay, Sawian Jaidee, Chatchawan Panraksa +1

We record a finite-field census of the split-cubic elliptic curves $E_{a, b, c}^{(n)} : y^{2} = (a x + n) (b x + n) (c x + n)$ attached to positive integral $D (n)$ -triples. For $n\in\{-3,3,5,8,12,20\…

math.NT2026

The local Dold congruence for Fibonacci and Lucas sequences

Sompong Chuysurichay, Sawian Jaidee, Chatchawan Panraksa +1

We discuss local properties of the classical Fibonacci and Lucas sequences, characterising in both cases those primes~ $p$ for which the~ $p$ -part satisfies the Dold congruences or i…

math.GM2026

1729 in the Mirror: Reversal and Affine Multiplication

Chatchawan Panraksa

The decimal reversals 1729 and 9271 have multiplicative orders of $2$ equal to 36 and 63. Motivated by this symmetry, we classify the affine commutation equation $R_B(hx+1)=hR_B(x)…

math.NT2026

Integer group determinants for abelian groups of order 24

Chatchawan Panraksa

We determine the integer group determinant sets for $C_{24}$ , $C_{2} \times C_{12}$ and $C_{2}^{2} \times C_{6}$ , the three abelian groups of order $24$ . Character factorization expresses ea…

math.NT2026

Integer group determinants for the elementary abelian group of order 49

Chatchawan Panraksa

Let $G = C_{7} \times C_{7}$ , and let $S (G)$ denote the set of integer values of its group determinant. We determine $S (G)$ by classifying the values divisible by $7$ ; the coprime values…

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.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.NT2026

Torsion and Positive Rank in an Elliptic Family Arising from Cubic 2-Cycles

Sompong Chuysurichay, Sawian Jaidee, Chatchawan Panraksa

We study the elliptic family $E_{t} : Y^{2} = X^{3} + 4 X^{2} + 16 t^{2}$ arising from rational $2$ -cycles of $x^{3} + b x + a$ . For every $t \in Q^{\times}$ , we prove that $P_{t} = (0, - 4 t)$ has infinite or…

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 points and exact periods of Chebyshev polynomials modulo odd prime powers

Chatchawan Panraksa, Aram Tangboonduangjit

Passing from a prime modulus to a higher prime power can change both the lengths and the number of cycles of a polynomial map. We determine these changes for Chebyshev polynomials…

math.PR2026★ 2 cited

A finite-sample Borel--Cantelli inequality under $m$ -dependence

Chatchawan Panraksa

We prove an explicit finite-sample version of the Borel--Cantelli lemma under $m$ -dependence. Given any $m$ -dependent sequence of events $(A_{k})_{1 \leq k \leq N}$ , we show that \[ \m…

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

Arithmetic exceptionality of Lattès 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…

math.NT2023

A dynamical system proof of Niven's theorem and its extensions

Chatchawan Panraksa, Detchat Samart, Songpon Sriwongsa

Niven's theorem asserts that ${cos (r π) ∣ r \in Q} \cap Q = {0, \pm 1, \pm 1/2} .$ In this paper, we use elementary techniques and results from arithmetic dynamic…

math.NT2021

Rational Periodic Points of $x^{d} + c$ and Fermat-Catalan Equations

Chatchawan Panraksa

We study rational periodic points of polynomial $f_{d, c} (x) = x^{d} + c$ over the field of rational numbers, where $d$ is an integer greater than 2. For period 2, we classify all possibl…

math.MG2019★ 1 cited

Wetzel's sector covers unit arcs

Chatchawan Panraksa, Wacharin Wichiramala

We settle J. Wetzel's 1970's conjecture and show that a 30{^\circ} circular sector of unit radius can accommodate every planar arc of unit length. Leo Moser asked in 1966 for the s…

math.NT2016

A Note on Average of Roots of Unity

Chatchawan Panraksa, Pornrat Ruengrot

We consider the problem of characterizing all functions $f$ defined on the set of integers modulo $n$ with the property that an average of some $n$ th roots of unity determined by $…

Some Remarks on Regular Sequences and Complete Intersections

Split-Cubic Curves from D(n)-Triples: A Bounded Finite-Field Census

The local Dold congruence for Fibonacci and Lucas sequences

1729 in the Mirror: Reversal and Affine Multiplication

Integer group determinants for abelian groups of order 24

Integer group determinants for the elementary abelian group of order 49

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

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

Torsion and Positive Rank in an Elliptic Family Arising from Cubic 2-Cycles

Integrality of Averages of Roots of Unity and Perfect Isometries

Fixed points and exact periods of Chebyshev polynomials modulo odd prime powers

A finite-sample Borel--Cantelli inequality under m-dependence

Finite-sample Borel--Cantelli inequalities under mixing conditions

Arithmetic exceptionality of Lattès maps

Orbits of Second Order Linear Recurrences over Finite Fields

A dynamical system proof of Niven's theorem and its extensions

Rational Periodic Points of xd+c and Fermat-Catalan Equations

Wetzel's sector covers unit arcs

A Note on Average of Roots of Unity

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

A finite-sample Borel--Cantelli inequality under $m$ -dependence

Rational Periodic Points of $x^{d} + c$ and Fermat-Catalan Equations