| dc.contributor.author |
Baier, Stephan. |
| dc.contributor.author |
Zhao, Liangyi. |
| dc.date.accessioned |
2011-09-15T03:41:27Z |
| dc.date.available |
2011-09-15T03:41:27Z |
| dc.date.copyright |
2010 |
| dc.date.issued |
2011-09-15 |
| dc.identifier.citation |
Baier, S., & Zhao, L. (2010). On Hecke Eigenvalues at Piatetski-Shapiro Primes. Journal of the London Mathematical Society, 81(1), 175-201. |
| dc.identifier.uri |
http://hdl.handle.net/10220/7064 |
| dc.description.abstract |
Let λ(n) be the normalized nth Fourier coefficient of a holomorphic cusp form for the full modular group. We show that, for some constant C > 0 depending on the cusp form and every fixed c in the range 1 < c < 8/7, the mean value of λ(p) is as p runs over all (Piatetski-Shapiro) primes of the form [nc] with n ∈ ℕ and n ≤ N. |
| dc.format.extent |
24 p. |
| dc.language.iso |
en |
| dc.relation.ispartofseries |
Journal of the London mathematical society |
| dc.rights |
© XXXX [Publisher] This is the author created version of a work that has been peer reviewed and accepted for publication by [Journal Title], [Publisher]. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [Article URL/DOI]. |
| dc.subject |
DRNTU::Science::Mathematics::Number theory. |
| dc.title |
On Hecke eigenvalues at Piatetski-Shapiro primes. |
| dc.type |
Journal Paper |
| dc.contributor.school |
School of Physical and Mathematical Sciences |
| dc.identifier.doi |
http://dx.doi.org/10.1112/jlms/jdp064 |
| dc.description.version |
Accepted version |
| dc.identifier.rims |
148079 |
