Simultaneous multiplicative rational approximation to a real and a $p$-adic numbers
Number Theory
2025-07-23 v1
Abstract
We give new examples of pairs composed of a real and a -adic numbers that satisfy a conjecture on simultaneous multiplicative approximation by rational numbers formulated by Einsiedler and Kleinbock in 2007.
Cite
@article{arxiv.2507.16503,
title = {Simultaneous multiplicative rational approximation to a real and a $p$-adic numbers},
author = {Yann Bugeaud and Bernard de Mathan},
journal= {arXiv preprint arXiv:2507.16503},
year = {2025}
}
Comments
To appear in the Journal of Number Theory