Let △* (a,b;x) be the error term in the asymptotic formula for D* (a,b;x) = ∑ manb(m,n=1)≤ 1,(1≤a＜b,(a,b)=1). In this paper a better upper bound estimate for △* (a,b;x) is obtained under the Riemann Hypothesis.%设△*(a,b;x)为D*(a,b;x)=∑manb≤x(m,n)=11,(1≤a＜b,(a,b)=1)的余项.本文在黎曼假设下利用指数和方法获得了△*(a,b;x)上界估计的一个较好估计.
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