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In this paper we show an asymptotic formula of the mean square of $\\Delta(\\ba;x)$ under a certain condition. 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Let $d(\\ba;n)=\\sum_{n_1^{a_1}\\cdots n_k^{a_k}=n}1$ and $\\Delta(\\ba;x)$ be the error term of the summatory function of $d(\\ba;n)$. In this paper we show an asymptotic formula of the mean square of $\\Delta(\\ba;x)$ under a certain condition. 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