Solution to Problem 11432 [2009,463] - Interior evaluation and boundary evaluation

O.P. Lossers

Research output: Contribution to journalArticleProfessional

Abstract

Proposed by Marian Tetiva, National College "Gheorghe Rosca Codreanu," Birlad, Romania. Let P be a polynomial of degree n with complex coefficients and with p(0) = 0. Show that for any complex alfa with alfa <1 there exist complex numbers Z1, .... , Zn+2, all of norm 1, such that P(a) = P(z1) + ... + P(Zn+2).
Original languageEnglish
Pages (from-to)89-90
JournalAmerican Mathematical Monthly
Volume118
Issue number1
Publication statusPublished - 2011

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