\(f\)-transfinite diameter and number theoretic applications

DOI10.5802/aif.1368zbMath0790.41007OpenAlexW2009558829MaRDI QIDQ1318011

Francesco Amoroso

Publication date: 22 June 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_4_1179_0

zbMATH Keywords

weight functiontransfinite diameterirrationality measures of logarithmis

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Approximation by polynomials (41A10) Potentials and capacities on other spaces (31C15)

Related Items (17)

On the linear independence measure of logarithms of rational numbers ⋮ Sur le diamètre transfini entier d'un intervalle à extrémités rationnelles. (On the integer transfinite diameter of intervals with rational end points.) ⋮ THE TOTAL DISTANCE FOR TOTALLY POSITIVE ALGEBRAIC INTEGERS ⋮ THE ABSOLUTE -MEASURE OF TOTALLY POSITIVE ALGEBRAIC INTEGERS ⋮ The S-measure for algebraic integers having all their conjugates in a sector ⋮ Unnamed Item ⋮ The \(N\)-measure for algebraic integers having all their conjugates in a sector ⋮ The absolute trace of totally positive algebraic integers ⋮ A variant \(S_2\) measure for algebraic integers all of whose conjugates Lie in a sector ⋮ Bounds for the trace of small Salem numbers ⋮ The Mahler measure and its areal analog for totally positive algebraic integers ⋮ On the Zhang–Zagier measure ⋮ On the absolute length of polynomials having all zeros in a sector ⋮ Heights of polynomials over lemniscates ⋮ 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] ⋮ On the absolute Mahler measure of polynomials having all zeros in a sector. III ⋮ Small polynomials with integer coefficients

Cites Work

• Sur le diamètre transfini entier d'un intervalle réel. (On the transfinite integer diameter of a real interval)
• On the theory of potentials in locally compact spaces
• Legendre type polynomials and irrationality measures.
• A New Method in Elementary Prime Number Theory
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