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Thispropositionsuggestsanotherapproach|toconsidertheasymptoticsofthesu Thispropositionsuggestsanotherapproach|toconsidertheasymptoticsofthesu

Thispropositionsuggestsanotherapproach|toconsidertheasymptoticsofthesu - PDF document

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Uploaded On 2015-10-05

Thispropositionsuggestsanotherapproach|toconsidertheasymptoticsofthesu - PPT Presentation

pWemayeasilyshowthefollowingProposition2ThereexistsaconstantcindependentofNsuchthatXpprimep1 plnlnNcProofWehave2 6ePp1 p Xn2N1 n2Ypprimepe1 p Xn2N1 n2Ypprimep11 pXn1 nZN11 xdx ID: 150808

p:Wemayeasilyshowthefollowing:Proposition2.Thereexistsaconstantc independentofN suchthatXpprime;p1 plnln(N)+c:Proof.Wehave2 6ePp1 p= Xn2N1 n2!Ypprime;pe1 p Xn2N1 n2!Ypprime;p1+1 pXn1 nZN11 xdx

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