3 papers
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.DS2024
Generating all time-changes preserving dynamical zeta functions
Sawian Jaidee, Jakub Byszewski, Thomas Ward
We construct a set of topological generators for the monoid of time-changes preserving the space of dynamical zeta functions.
math.NT1999
A dynamical property unique to the Lucas sequence
Y. Puri, T. Ward
The only recurrence sequence satisfying the Fibonacci recurrence and realizable as the number of periodic points of a map is (a multiple of) the Lucas sequence.