Sum of the triple divisor function of mixed powers
Let $ d_3(n) $ denote the 3-th divisor function. In this paper, we study the asymptotic formula of the sum $ \sum\limits_{\substack{1 \leqslant n_1,n_2 \leqslant X^{\frac{1}{2}} \\ 1 \leqslant n_3 \leqslant X^{\frac{1}{k}}}} d_3(n_1^2+n_2^2+n_3^k) $ with $ n_1, n_2, n_3\in \mathbb{Z}^+ $...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2022-05-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022713?viewType=HTML |