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

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13 papers · 1 filter

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.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.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.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.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 $…

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

The local Dold congruence for Fibonacci and Lucas sequences

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

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

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

A Note on Average of Roots of Unity

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

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