On a theorem of Legendre in the theory of continued fractions

DOI10.5802/jtnb.106zbMath0811.11049OpenAlexW2321868680MaRDI QIDQ1340677

Dominique Barbolosi, Hendrik Jager

Publication date: 18 December 1994

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1994__6_1_81_0

zbMATH Keywords

continued fractionsanalogues of Legendre's theoremapproximation coefficient of a rational number

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Homogeneous approximation to one number (11J04)

Related Items (3)

Natural extensions for Nakada's \(\alpha\)-expansions: descending from \(1\) to \(g^2\) ⋮ Unnamed Item ⋮ Time reversed $S$-expansions

Cites Work

• Sur le développement en fractions continues à quotients partiels impairs. (On the development of continued fractions with odd partial quotients.)
• A new class of continued fraction expansions
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