S. Jaidee

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20182026

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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…