The $p$-adic Duffin-Schaeffer conjecture

نویسندگان

چکیده

We prove Haynes' version of the Duffin-Schaeffer conjecture for $p$-adic numbers. In addition, we several results about an associated related but false conjecture, to approximation in spirit Jarník and Lutz.

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ژورنال

عنوان ژورنال: Functiones et Approximatio Commentarii Mathematici

سال: 2023

ISSN: ['0208-6573', '2080-9433']

DOI: https://doi.org/10.7169/facm/2042