The Sidon constant for homogeneous polynomials

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dc.creatorOrtega-Cerdà, Joaquim
dc.creatorOunaïes, Myriam
dc.creatorSeip, Kristian
dc.date2009-03-08
dc.date.accessioned2026-07-07T12:50:23Z
dc.date.available2026-07-07T12:50:23Z
dc.descriptionThe Sidon constant for the index set of nonzero m-homogeneous polynomials P in n complex variables is the supremum of the ratio between the l^1 norm of the coefficients of P and the supremum norm of P in D^n. We present an estimate which gives the right order of magnitude for this constant, modulo a factor depending exponentially on m. We use this result to show that the Bohr radius for the polydisc D^n is bounded from below by a constant times sqrt((log n)/n).
dc.identifierhttps://arxiv.org/abs/0903.1455
dc.identifierhttp://arxiv.org/abs/0903.1455
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222673
dc.subjectComplex Variables
dc.subject32A05; 43A46
dc.titleThe Sidon constant for homogeneous polynomials
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