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

Autor:	Coppola, Giovanni
Rok vydání:	2012
Předmět:	Mathematics - Number Theory 11N37 11M06
Druh dokumentu:	Working Paper
Popis:	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. Comment: Selberg integral of $d_3$ exponent is improved to 6/5, applying conjectural exponent 1 for the modified Selberg integral of $d_3$
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1207.0902 Zobrazit plný text záznamu View this record from Arxiv