The average behavior of fourier coefficients of cusp forms over sparse sequences
The average behavior of fourier coefficients of cusp forms over sparse sequences
| dc.contributor.author | Lao, Huixue | |
| dc.contributor.author | Sankaranarayanan, Ayyadurai | |
| dc.date.accessioned | 2022-03-27T04:08:50Z | |
| dc.date.available | 2022-03-27T04:08:50Z | |
| dc.date.issued | 2009-08-01 | |
| dc.description.abstract | Let λ(n) be the nth normalized Fourier coefficient of a holomorphic Hecke eigenform f(z) Sκ(G). In this paper we are interested in the average behavior of λ2(n) over sparse sequences. By using the properties of symmetric power L-functions and their Rankin-Selberg L-functions, we are able to establish that for any e > 0, σn≤x λ2(nj) = cj-1x + O(x 1-2(j+1)2+2 +e), where j = 2, 3, 4. © 2009 American Mathematical Society. | |
| dc.identifier.citation | Proceedings of the American Mathematical Society. v.137(8) | |
| dc.identifier.issn | 00029939 | |
| dc.identifier.uri | 10.1090/S0002-9939-09-09855-4 | |
| dc.identifier.uri | http://www.ams.org/jourcgi/jour-getitem?pii=S0002-9939-09-09855-4 | |
| dc.identifier.uri | https://dspace.uohyd.ac.in/handle/1/6536 | |
| dc.subject | Fourier coefficients of cusp forms | |
| dc.subject | Rankin-Selberg L-function | |
| dc.subject | Symmetric power L-function | |
| dc.title | The average behavior of fourier coefficients of cusp forms over sparse sequences | |
| dc.type | Journal. Article | |
| dspace.entity.type |
Files
License bundle
1 - 1 of 1