The cancellation of Fourier coefficients of cusp forms over different sparse sequences |
| |
| Authors: | Hui Xue Lao |
| |
| Affiliation: | 1. Department of Mathematics, Shandong Normal University, Ji’nan, 250014, P. R. China
|
| |
| Abstract: | Let λ f (n) be the n-th normalized Fourier coefficient of a holomorphic Hecke eigenform f(z) ∈ S k (Γ). In this paper, we established nontrivial estimates for $$sumlimits_{n leqslant x} {lambda _f left( {n^i } right)lambda _f left( {n^j } right),}$$ where 1 ≤ i < j ≤ 4. |
| |
| Keywords: | Fourier coefficients cusp forms L-function sparse sequence |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
|
