On the Selberg integral of the three-divisor function $d_3$

Giovanni Coppola

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arXiv · 1207.0902

On the Selberg integral of the three-divisor function $d_3$

Giovanni Coppola

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Abstract

We give a new non-trivial upper bound for the Selberg integral of the three-divisor function $d_3(n)$. Our method applies our recent conjecture together with Laporta, for the modified Selberg integral of $d_3(n)$, and a kind of modified Gallagher Lemma for the exponential sums.

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Giovanni Coppola. 2012-09-29. On the Selberg integral of the three-divisor function $d_3$. https://arxiv.org/abs/1207.0902

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