On the fourth moment in the Rankin-Selberg problem
| dc.creator | Ivić, Aleksandar | |
| dc.date | 2007-01-31 | |
| dc.date.accessioned | 2026-07-07T10:15:46Z | |
| dc.date.available | 2026-07-07T10:15:46Z | |
| dc.description | If $$ Δ(x) := \sum_{n\le x}c_n - Cx $$ denotes the error term in the classical Rankin-Selberg problem, then it is proved that $$ \int_0^X Δ^4(x)\d x \ll_εX^{3+ε},\quad \int_0^X Δ_1^4(x)\d x \ll_εX^{11/2+ε}, $$ where $Δ_1(x) = \int_0^xΔ(u) du$. The latter bound is, up to `$ε$', best possible. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701912 | |
| dc.identifier | http://arxiv.org/abs/math/0701912 | |
| dc.identifier | Arch. Math. 90(2008), 412-419 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173285 | |
| dc.subject | Number Theory | |
| dc.subject | 11 N 37, 11 M 06 | |
| dc.title | On the fourth moment in the Rankin-Selberg problem | |
| dc.type | text |