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math.NT2025
Superoptimal continued fractions
Slade Sanderson
Motivated by the optimal continued fractions studied independently by Selenius and Bosma, we define and introduce algorithms producing superoptimal continued fraction expansions of…
math.NT2025
Inducing contractions of the mother of all continued fractions
Karma Dajani, Cor Kraaikamp, Slade Sanderson
We introduce a new, large class of continued fraction algorithms producing what are called contracted Farey expansions. These algorithms are defined by coupling two acceleration te…