Simultaneous Diophantine approximation with a divisibility condition

Bernard de Mathan

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arXiv · 2402.08850

Simultaneous Diophantine approximation with a divisibility condition

Bernard de Mathan

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Abstract

In a previous paper, we studied certain sequences of simultaneous rational approximations in ${\bf R}^2$ which present some analogy with the continued fractions. We got results around the Littlewood conjecture by using such approximations. Here we show that such results also hold when we add divisibility conditions.

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Bernard de Mathan. 2024-02-13. Simultaneous Diophantine approximation with a divisibility condition. https://arxiv.org/abs/2402.08850

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