A symmetry property of some harmonic algebraic curves

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dc.creatorAval, Jean-Christophe
dc.creatorMarckert, Jean-François
dc.date2008-05-14
dc.date.accessioned2026-07-07T12:18:51Z
dc.date.available2026-07-07T12:18:51Z
dc.descriptionThe aim of this note is to give a surprising symmetry property of some harmonic algebraic curves: when all the roots $z_i$ of a complex polynomial $P$ lie on the unit circle $\U$, the points of $\U$ different from the $z_i$, and such that $\Arg(P(z))=θ$, form a regular $n$-gon, where $n$ is the degree of $P$.
dc.identifierhttps://arxiv.org/abs/0805.2016
dc.identifierhttp://arxiv.org/abs/0805.2016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212555
dc.subjectGeneral Mathematics
dc.titleA symmetry property of some harmonic algebraic curves
dc.typetext

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