Superoptimal continued fractions

Published 27 Aug 2025 in math.NT and math.DS | (2508.19743v1)

Abstract: Motivated by the optimal continued fractions studied independently by Selenius and Bosma, we define and introduce algorithms producing superoptimal continued fraction expansions of irrationals. These expansions simultaneously provide arbitrarily good rational approximations and converge arbitrarily quickly.

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Slade Sanderson

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