On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory
Number Theory
2024-07-08 v1
Abstract
We develop a continued fraction algorithm in finite extensions of generalising certain algorithms in , and prove the finiteness property for certain small degree extensions. We also discuss the metrical properties of the associated continued fraction maps for our algorithms using subsequence ergodic theory and moving averages.
Keywords
Cite
@article{arxiv.2407.04276,
title = {On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory},
author = {Manoj Choudhuri and Prashant J. Makadiya},
journal= {arXiv preprint arXiv:2407.04276},
year = {2024}
}
Comments
20 pages