A generalization of continued fractions

DOI10.1016/j.jnt.2011.06.007zbMath1263.11007OpenAlexW1996530782MaRDI QIDQ640879

Maxwell Anselm, Steven H. Weintraub

Publication date: 21 October 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.06.007

zbMATH Keywords

Pell's equationcontinued fractionquadratic irrational

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Continued fractions (11A55)

Related Items (13)

Invariant measures for continued fraction algorithms with finitely many digits ⋮ Orbits of \(N\)-expansions with a finite set of digits ⋮ A generalization of the Gauss-Kuzmin-Wirsing constant ⋮ Generalizations of Sturmian sequences associated with \(\boldsymbol{N}\)-continued fraction algorithms ⋮ Random \(N\)-continued fraction expansions ⋮ Combinatorial proofs of some identities for nonregular continued fractions ⋮ Continued fraction expansions with variable numerators ⋮ Alternating $N$-expansions ⋮ Ergodicity of \(N\)-continued fraction expansions ⋮ Periodicity of certain generalized continued fractions ⋮ GENERALIZED CONTINUED FRACTION EXPANSIONS WITH CONSTANT PARTIAL DENOMINATORS ⋮ On the \(r\)-continued fraction expansions of reals ⋮ Continued fractions over non-Euclidean imaginary quadratic rings

Cites Work

• Shrinking the period length of quasi-periodic continued fractions
• Shrinking the period lengths of continued fractions while still capturing convergents
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