【摘要】Afunctionf:N→Riscalledadditiveiff(mn)=f(m)+f(n)forallm,nwith(m,n)=1.Letμ(x)=maxn≤x(f(n)f(n+1))andν(x)=maxn≤x(f(n+1)f(n)).In1979,Ruzsaprovedthatthereexistsaconstantcsuchthatforanyadditivefunctionf,μ(x)≤cν(x2)+cf,wherecfisaconstantdependingonlyonf.DenotebyRaftheleastsuchconstantc.WecallRafRuzsa’sc
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