Approximation properties of some complex continued fractions

DOI10.1007/BF01295317zbMath0307.10033OpenAlexW1992936179MaRDI QIDQ1217731

Richard B. Lakein

Publication date: 1973

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/177661

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Algebraic numbers; rings of algebraic integers (11R04) Homogeneous approximation to one number (11J04)

Related Items (11)

Sets of exact approximation order by complex rational numbers ⋮ On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields ⋮ Infinite series representations for complex numbers ⋮ On the ergodic theory of maps associated with the nearest integer complex continued fractions over imaginary quadratic fields ⋮ On sums of partial quotients in Hurwitz continued fraction expansions ⋮ Purely periodic and transcendental complex continued fractions ⋮ Good’s theorem for Hurwitz continued fractions ⋮ On the construction of the natural extension of the Hurwitz complex continued fraction map ⋮ Badly approximable numbers over imaginary quadratic fields ⋮ Continued fractions over non-Euclidean imaginary quadratic rings ⋮ THE DIFFERENCE BETWEEN THE HURWITZ CONTINUED FRACTION EXPANSIONS OF A COMPLEX NUMBER AND ITS RATIONAL APPROXIMATIONS

Cites Work

• A continued fraction proof of Ford's theorem on complex rational approximations.

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