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An isoperimetric inequality for logarithmic capacity of polygons

Alexander Yu. Solynin·Victor A Zalgaller
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Abstract

We verify an old conjecture of G. Polya and G. Szego saying that the regular n-gon minimizes the logarithmic capacity among all n-gons with a fixed area.

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Alexander Yu. Solynin, Victor A Zalgaller. 2005-10-06. An isoperimetric inequality for logarithmic capacity of polygons. https://arxiv.org/abs/math/0510127

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