[obm-l] CHINA 2003

To: obm-l@xxxxxxxxxxxxxx
Subject: [obm-l] CHINA 2003
From: Joÿffffe3o Silva <d79i3mn8@xxxxxxxxxxxx>
Date: Sat, 14 Jul 2007 22:21:45 -0300 (ART)
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As n raizes do polinomio de coeficientes complexos p(z):

p(z) = z^n + (an)z^(n-1) + ... + (a2)z + (a1), sao dadas por:

z1, z2, ..., zn. Prove que se |a1|^2 + |a2|^2 + ... + |an|^2 <= 1 entao

|z1|^2 + |z2|^2 + ...+ |zn|^2 <= n.

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