S. Jaidee

activity

20082026

most citedMertens' theorem for toral automorphisms

10 citations · 22 across the 7 of their papers we have counts for

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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

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.NT2025

Local structure of classical sequences, regular sequences, and dynamics

Sawian Jaidee, Patrick Moss, Thomas Ward

We introduce the notions of local realizability at a prime and algebraic realizability of an integer sequence. After discussing this notion in general we consider it for the Euler…