Andean E. Medjedovic

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math.NT2021

Real Mahler Series

Andean E. Medjedovic

Let $α$ and $β$ be positive real numbers. Let $F (x) \in K [[x^{Γ}]]$ be a Hahn series. We prove that if $F (x)$ is both $α$ -Mahler and $β$ -Mahler then it must be a rational function, $…

math.NT2020

A Look at Chowla's Problem

Andean Medjedovic

In this paper we look at the history behind Chowla's problem on the solutions to $L (1, f) = 0$ for periodic $f$ . We focus on the results given by Baker, Birch and Wirsing on the top…