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Amoroso, Francesco

\(f\)-transfinite diameter and number theoretic applications. (English) Zbl 0790.41007

Ann. Inst. Fourier 43, No. 4, 1179-1198 (1993).
We generalize the classical notion of transfinite diameter introducing a weight function \(f\). This allow us to get new results in the study of polynomials defined by extremal conditions. In the second part, some applications to the irrationality measures of logarithms are given.
Reviewer: F.Amoroso

Cited in 17 Documents

MSC:

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

Keywords:

transfinite diameter; weight function; irrationality measures of logarithmis
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References:

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