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arxiv: 1807.01158 · v1 · pith:FJWSGI4Qnew · submitted 2018-07-02 · 🧮 math.DS · math.NT

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

classification 🧮 math.DS math.NT
keywords cubicmangoldtmultiplicativeweightsalmostaperiodicaverageaverages
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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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