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

Yann Bugeaud; Bernard de Mathan

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arXiv · 2507.16503

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

Yann Bugeaud·Bernard de Mathan

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Abstract

We give new examples of pairs composed of a real and a $p$-adic numbers that satisfy a conjecture on simultaneous multiplicative approximation by rational numbers formulated by Einsiedler and Kleinbock in 2007.

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Yann Bugeaud, Bernard de Mathan. 2025-07-22. Simultaneous multiplicative rational approximation to a real and a $p$-adic numbers. https://arxiv.org/abs/2507.16503

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