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On continued fractions of given period

Christian Friesen

Source record

Source: Crossref

Published: May 1, 1988

DOI: 10.1090/s0002-9939-1988-0938635-4

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Source abstract

A direct proof is given of the fact that, for any k ∈ Z + k \in {{\mathbf {Z}}^ + } , there are infinitely many squarefree integers N N , where the continued fraction expansion of N \sqrt N has period equal to k k .

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