On Hecke eigenvalues at Piatetski-Shapiro primes
- Autores: Stephan Baier, Liangyi Zhao
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 1, 2010, págs. 175-201
- Idioma: inglés
- Enlaces
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Resumen
Let �É(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 �É(p) is O exp .C �ã logN as p runs over all (Piatetski-Shapiro) primes of the form [nc] with n �¸ N and n N.
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