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arXiv · 1807.01158

On the pointwise convergence of the cubic average with multiplicative or von Mangoldt weights

el Houcein el Abdalaoui·Xiangdong Ye
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Abstract

It is shown that the cubic nonconventional ergodic averages of any order with a bounded aperiodic multiplicative function or von Mangoldt weights converge almost surely.

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el Houcein el Abdalaoui, Xiangdong Ye. 2018-07-02. On the pointwise convergence of the cubic average with multiplicative or von Mangoldt weights. https://arxiv.org/abs/1807.01158

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