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arxiv: math/0510127 · v1 · submitted 2005-10-06 · 🧮 math.CV

An isoperimetric inequality for logarithmic capacity of polygons

classification 🧮 math.CV
keywords capacitylogarithmicareaconjecturefixedinequalityisoperimetricminimizes
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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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