On the integer transfinite diameter of intervals of the form \([\frac{r}{s}, u]\) or \([0,(\sqrt{a}-\sqrt{b})^2]\) and of Farey intervals

DOI10.1216/RMJ-2019-49-5-1547zbMath1439.11190OpenAlexW2973284619MaRDI QIDQ2326031

Valerie Flammang

Publication date: 4 October 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1568880090

zbMATH Keywords

recursive algorithmauxiliary functionsinteger transfinite diameter

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Metric theory of continued fractions (11K50)

Cites Work

• On the absolute length of polynomials having all zeros in a sector
• Small polynomials with integer coefficients
• The integer Chebyshev constant of Farey intervals
• \(f\)-transfinite diameter and number theoretic applications
• Sur le diamètre transfini entier d'un intervalle à extrémités rationnelles. (On the integer transfinite diameter of intervals with rational end points.)
• The Mean Values of Totally Real Algebraic Integers
• On the linear independence measure of logarithms of rational numbers
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