On the moments of Hecke series at central points II
| dc.creator | Ivic, Aleksandar | |
| dc.creator | Jutila, Matti | |
| dc.date | 2003-05-13 | |
| dc.date | 2003-11-06 | |
| dc.date.accessioned | 2026-07-07T04:57:57Z | |
| dc.date.available | 2026-07-07T04:57:57Z | |
| dc.description | We prove, in standard notation from spectral theory, the asymptotic formula ($B>0$) $$ \sum_{κ_j\le T}α_j H_j(1/2) = ({T\overπ})^2 - BT\log T + O(T(\log T)^{1/2}), $$ by using an approximate functional equation for $H_j(1/2)$ and the Bruggeman--Kuznetsov trace formula. We indicate how the error term may be improved to $O(T(\log T)^ε)$. | |
| dc.description | 16 pages, TeX formatting improved | |
| dc.identifier | https://arxiv.org/abs/math/0305178 | |
| dc.identifier | http://arxiv.org/abs/math/0305178 | |
| dc.identifier | Functiones et Approximatio XXXI(2003), 7-22 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67445 | |
| dc.subject | Number Theory | |
| dc.subject | 11F72, 11F66, 11M41, 11M06 | |
| dc.title | On the moments of Hecke series at central points II | |
| dc.type | text |