On Hecke eigenvalues at Piatetski-Shapiro primes

• Main Authors: Baier, Stephan, Zhao, Liangyi
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2011
• Subjects: DRNTU::Science::Mathematics::Number theory
• Online Access: https://hdl.handle.net/10356/93859; http://hdl.handle.net/10220/7064
• Institution: Nanyang Technological University

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...