On mean square of the error term of a multivariable divisor function
Let $ \tau(n) $ be the Dirichlet divisor function and $ k\geqslant2 $ be a fixed integer. We give an asymptotic formula of the mean square of</p><p class="disp_formula">$ \begin{equation*} \Delta_k(x) = \sum\limits_{n_1, \cdots, n_k\leqslant x}\tau(n_1 \cdots n_k)-x^kP_k(\log x...
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| Aineistotyyppi: | Artikkeli |
| Kieli: | English |
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AIMS Press
2024-10-01
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| Sarja: | AIMS Mathematics |
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| Linkit: | https://www.aimspress.com/article/doi/10.3934/math.20241415?viewType=HTML |