paper

Simultaneous multiplicative rational approximation to a real and a -adic numbers

arXiv:2507.16503

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.

To appear in the Journal of Number Theory

Simultaneous multiplicative rational approximation to a real and a $p$-adic numbers · wovepaper