The $p$-adic Duffin-Schaeffer conjecture

IF 0.5 Q3 MATHEMATICS FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2021-10-06 DOI:10.7169/facm/2042

S. Kristensen, M. Laursen

引用次数: 1

Abstract

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

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$p$adic-Duffin-Scheeffer猜想

．我们对p进数证明了Haynes版本的Duffin-Schaeffer猜想。此外，我们证明了一个与Jarn´ık和Lutz精神中的p进近似相关但错误的猜想的几个结果。

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来源期刊

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI MATHEMATICS-

CiteScore

0.80

自引率

20.00%

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