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arxiv: 0806.3902 · v1 · submitted 2008-06-24 · 🧮 math.NT

On the mean square of the error term for the two-dimensional divisor problem (I)

classification 🧮 math.NT
keywords divisorerrormeanproblemsquaretermtwo-dimensionalasymptotic
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Suppose $a$ and $b$ are two fixed positive integers such that $(a,b)=1.$ In this paper we shall establish an asymptotic formula for the mean square of the error term $\Delta_{a,b}(x)$ of the general two-dimensional divisor problem.

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