On continued fractions of equal length

A. V. Ustinov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: The article gives a one-parameter family of rational numbers whose expansions in reduced regular continued fractions (Hirzebruch fractions) have equal lengths.

Key words: continued fractions.

UDC: 517.524

MSC: Primary 11A55; Secondary 14M25

Received: 23.02.2014