3 papers
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 arising from rational -cycles of . For every , we prove that 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…
math.DS2018
Time-changes preserving zeta functions
Sawian Jaidee, Patrick Moss, Tom Ward
We associate to any dynamical system with finitely many periodic orbits of each length a collection of possible time-changes of the sequence of periodic point counts that preserve…