Simultaneous Diophantine approximation with a divisibility condition
Year: 2025
Type: article
Abstract: In a previous paper ([9]), we studied certain sequences of simultaneous rational approximations in ℝ 2 which present some analogy with the continued fractions. We got results around the Littlewood conjecture by using such approximations. Here we show that these results also hold when we add divisibility conditions.
DOI: 10.5802/jtnb.1303
Author: Bernard de Mathan
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409004606