This research presents new pairs of real and p-adic numbers fulfilling a conjecture, indicating advancements in simultaneous multiplicative approximation by rational numbers.
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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Bugeaud et al. (2025) studied this question.