Odd-odd continued fraction algorithm
نویسندگان
چکیده
Abstract By using a jump transformation associated to the Romik map, we define new continued fraction algorithm called odd-odd fraction, whose principal convergents are rational numbers of odd denominators and numerators. Among others, it is proved that all best approximating rationals numerators an irrational number given by vice versa.
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2022
ISSN: ['0026-9255', '1436-5081']
DOI: https://doi.org/10.1007/s00605-022-01704-2