On sums of Hecke series in short itervals
| dc.creator | Ivić, Aleksandar | |
| dc.date | 2003-11-21 | |
| dc.date.accessioned | 2026-07-07T05:03:08Z | |
| dc.date.available | 2026-07-07T05:03:08Z | |
| dc.description | We prove $\sum_{K-G}\le κ_j \le K+G}α_j H_j^3(1/2) \ll_εGK^{1+ε}$ for $K^ε\le G \le K$, where $α_j = |ρ_j(1)|^2(\cosh πκ_j)^{-1}$, and $ρ_j(1)$ is the first Fourier coefficient of the Maass wave form corresponding to the eigenvalue $λ_j = κ_j^2 + 1/4$ to which the Hecke series $H_j(s)$ is attached. This result yields the new bound $H_j(1/2) \ll_εκ_j^{1/3+ε}$. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311374 | |
| dc.identifier | http://arxiv.org/abs/math/0311374 | |
| dc.identifier | Journal de Theéorie des Nombres de Bordeaux 13(2001), 453-468 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69290 | |
| dc.subject | Number Theory | |
| dc.subject | 11F72, 11F66, 11M41, 11M06 | |
| dc.title | On sums of Hecke series in short itervals | |
| dc.type | text |