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Topic: Asymptotics
Replies: 1   Last Post: Apr 13, 2010 11:36 AM

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Posts: 20
From: UK
Registered: 1/23/09
Posted: Apr 13, 2010 5:52 AM
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Let a(n) be a real sequence. If sum_k=1..n [a(k)]^2 = O( 1/(n^p . log^q n)), n -> +infinity (p,q >= 0) then
a(n) = O( 1/n^(p+1)/2 . log^q/2 n), n -> +infinity?

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Robert Israel

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