The distribution of Fourier coefficients of cusp forms over sparse sequences
The distribution of Fourier coefficients of cusp forms over sparse sequences
| dc.contributor.author | Lao, Huixue | |
| dc.contributor.author | Sankaranarayanan, Ayyadurai | |
| dc.date.accessioned | 2022-03-27T04:08:46Z | |
| dc.date.available | 2022-03-27T04:08:46Z | |
| dc.date.issued | 2014-01-01 | |
| dc.description.abstract | Let λf(n) be the nth normalized Fourier coefficient of a holomorphic Hecke eigenform f(z) ∈ Sk(Γ). We establish that Σn≤λf2(nj) = cjx + O (x1-2/(j+1)2+ 1) for = 2,3,4, which improves the previous results. For j = 2, we even establish a better result. | |
| dc.identifier.citation | Acta Arithmetica. v.163(2) | |
| dc.identifier.issn | 00651036 | |
| dc.identifier.uri | 10.4064/aa163-2-1 | |
| dc.identifier.uri | http://journals.impan.pl/cgi-bin/doi?aa163-2-1 | |
| dc.identifier.uri | https://dspace.uohyd.ac.in/handle/1/6526 | |
| dc.subject | Fourier coefficients of cusp forms | |
| dc.subject | Rankin-Selberg L-function | |
| dc.subject | Symmetric power L-function | |
| dc.title | The distribution of Fourier coefficients of cusp forms over sparse sequences | |
| dc.type | Journal. Article | |
| dspace.entity.type |
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