K. Gunn

collaborators

2 papers

math.NT2022

A general criterion for the Pólya-Carlson dichotomy and application

Jason P. Bell, Keira Gunn, Khoa D. Nguyen +1

We prove a general criterion for an irrational power series $f (z) = n = 0 \sum \infty a_{n} z^{n}$ with coefficients in a number field $K$ to admit the unit circle as a natu…

math.NT2021

Endomorphisms of positive characteristic tori: entropy and zeta function

Keira Gunn, Khoa D. Nguyen, J. C. Saunders

Let $F$ be a finite field of order $q$ and characteristic $p$ . Let $Z_{F} = F [t]$ , $Q_{F} = F (t)$ , $R_{F} = F ((1/ t))$ equipped with the discrete valuation for which…