On semi-regular finite continued fractions

DOI10.1007/BF01189635zbMath0596.10009MaRDI QIDQ1078222

Gerald Myerson

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Dedekind sumaverage lengthpartial quotientsaverage sumnegative-regular continued fractionsemi-regular continued fraction

Mathematics Subject Classification ID

Continued fractions (11A55) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

On a plane convex arc with a large number of lattice points, Multidimensional continued fractions for cyclic quotient singularities and Dedekind sums, On crepant resolutions of 2-parameter series of Gorenstein cyclic quotient singularities, Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums, Mean value of sums of partial quotients of continued fractions, Arrangements of curves and algebraic surfaces, Dedekind sums and generalizations of the Markov Diophantine equation, Numerical semigroups: Apéry sets and Hilbert series., Toric varieties, lattice points and Dedekind sums

Cites Work

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• Statistik der Teilnenner der zu den echten Brüchen gehörigen regelmäßigen Kettenbrüche
• Über die Teilnenner endlicher Kettenbrueche
• AVERAGES OVER ELEMENTS OF A CERTAIN CLASS OF FINITE CONTINUED FRACTIONS
• Analysis of the subtractive algorithm for greatest common divisors
• On a theorem of Heilbronn
• Notes on generalized Dedekind sums
• Continued fractions and density results for Dedekind sums.
• Zur Theorie der Modulfunktionen.
• On the average length of finite continued fractions