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Scientific article
English

On Littlewoods's constants

Published inBulletin of the London Mathematical Society, vol. 37, no. 05, p. 719-726
Publication date2005
Abstract

In two papers, Littlewood studied seemingly unrelated constants: (i) the best α such that for any polynomial f, of degree n, the areal integral of its spherical derivative is at most const ·nα, and (ii) the extremal growth rate β of the length of Green's equipotentials for simply connected domains. These two constants are shown to coincide, thus greatly improving known estimates on α.

Citation (ISO format)
BELIAEV, Dmitri, SMIRNOV, Stanislav. On Littlewoods’s constants. In: Bulletin of the London Mathematical Society, 2005, vol. 37, n° 05, p. 719–726. doi: 10.1112/S0024609305004522
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ISSN of the journal1469-2120
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