Seda Albayrak

activity

20192024

collaborators

3 papers

math.NT2024

On Certain Polytopes Associated to Products of Algebraic Integer Conjugates

Seda Albayrak, Samprit Ghosh, Greg Knapp +1

Let $d > k$ be positive integers. Motivated by an earlier result of Bugeaud and Nguyen, we let $E_{k, d}$ be the set of $(c_{1}, \dots, c_{k}) \in R_{\geq 0}^{k}$ such that $\vertα_0\…

cs.FL2023

Quantitative estimates for the size of an intersection of sparse automatic sets

Seda Albayrak, Jason Bell

A theorem of Cobham says that if $k$ and $ℓ$ are two multiplicatively independent natural numbers then a subset of the natural numbers that is both $k$ - and $ℓ$ -automatic is…

math.NT2019

A refinement of Christol's theorem for algebraic power series

Seda Albayrak, Jason P. Bell

A famous result of Christol gives that a power series $F (t) = \sum_{n \geq 0} f (n) t^{n}$ with coefficients in a finite field $F_{q}$ of characteristic $p$ is algebraic over the fi…