Multidimensional $p$-adic continued fraction algorithms
Number Theory
2019-05-15 v3
Abstract
We give a new class of multidimensional -adic continued fraction algorithms. We propose an algorithm in the class for which we can expect that multidimensional -adic version of Lagrange's Theorem holds.
Cite
@article{arxiv.1705.06122,
title = {Multidimensional $p$-adic continued fraction algorithms},
author = {Asaki Saito and Jun-ichi Tamura and Shin-ichi Yasutomi},
journal= {arXiv preprint arXiv:1705.06122},
year = {2019}
}
Comments
27 pages, To appear in Math. Comp. 2019