Diophantine approximation by rational numbers of certain parity types

Dong Han Kim, Seul Bee Lee, Lingmin Liao

Research output: Contribution to journalArticlepeer-review

Abstract

For a given irrational number, we consider the properties of best rational approximations of given parities. There are three different kinds of rational numbers according to the parity of the numerator and denominator, say odd/odd, even/odd, and odd/even rational numbers. We study algorithms to find best approximations by rational numbers of given parities and compare these algorithms with continued fraction expansions.

Original languageEnglish
Article numbere12285
JournalMathematika
Volume71
Issue number1
DOIs
StatePublished - Jan 2025

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