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On the Selberg integral of the three-divisor function $d_3$
Published 4 Jul 2012 in math.NT | (1207.0902v3)
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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