On Hecke eigenvalues at Piatetski-Shapiro primes
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 t...
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sg-ntu-dr.10356-938592023-02-28T19:34:12Z On Hecke eigenvalues at Piatetski-Shapiro primes Baier, Stephan Zhao, Liangyi School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Number theory 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. Accepted version 2011-09-15T03:41:27Z 2019-12-06T18:46:43Z 2011-09-15T03:41:27Z 2019-12-06T18:46:43Z 2010 2010 Journal Article Baier, S., & Zhao, L. (2010). On Hecke Eigenvalues at Piatetski-Shapiro Primes. Journal of the London Mathematical Society, 81(1), 175-201. https://hdl.handle.net/10356/93859 http://hdl.handle.net/10220/7064 10.1112/jlms/jdp064 148079 en Journal of the London mathematical society © 2009 London Mathematical Society. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of the London mathematical society, London Mathematical Society. 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: [http://dx.doi.org/10.1112/jlms/jdp064]. 24 p. application/pdf |
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DRNTU::Science::Mathematics::Number theory Baier, Stephan Zhao, Liangyi On Hecke eigenvalues at Piatetski-Shapiro primes |
| description |
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. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Baier, Stephan Zhao, Liangyi |
| format |
Article |
| author |
Baier, Stephan Zhao, Liangyi |
| author_sort |
Baier, Stephan |
| title |
On Hecke eigenvalues at Piatetski-Shapiro primes |
| title_short |
On Hecke eigenvalues at Piatetski-Shapiro primes |
| title_full |
On Hecke eigenvalues at Piatetski-Shapiro primes |
| title_fullStr |
On Hecke eigenvalues at Piatetski-Shapiro primes |
| title_full_unstemmed |
On Hecke eigenvalues at Piatetski-Shapiro primes |
| title_sort |
on hecke eigenvalues at piatetski-shapiro primes |
| publishDate |
2011 |
| url |
https://hdl.handle.net/10356/93859 http://hdl.handle.net/10220/7064 |
| _version_ |
1759857300282015744 |