Year: 2021
Type: preprint
Abstract: 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, $F(x) \in K(x)$, assuming some non-degeneracy conditions on $α$ and $β$.
Source: arXiv (Cornell University)
Author: Medjedovic, Andean E.
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4294540389