2024
DOI: 10.1090/bull/1819
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Continued fractions in the field of 𝑝-adic numbers

Giuliano Romeo

Abstract: Continued fractions have a long history in number theory, especially in the area of Diophantine approximation. The aim of this expository paper is to survey the main results on the theory of p p -adic continued fractions, i.e., continued fractions defined over the field of p p -adic numbers Q p \mathbb {Q}_p , which in the last years has recorded a considerable increase of interest and research activity. We start from the very… Show more

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