Author:
Gun Sanoli,Kumar Murty V.
Abstract
Abstract Let f be a normalized Hecke eigenform with rational integer Fourier coefficients. It is an interesting question to know how often an integer n has a factor common with the n-th Fourier coefficient of f. It has been shown in previous papers that this happens very often. In this paper, we give an asymptotic formula for the number of integers n for which (n, a(n)) = 1, where a(n) is the n-th Fourier coefficient of a normalized Hecke eigenform f of weight 2 with rational integer Fourier coefficients and having complex multiplication.
Publisher
Canadian Mathematical Society
Cited by
4 articles.
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1. Distinguishing newforms by their Hecke eigenvalues;Research in Number Theory;2021-07-28
2. Overview of the Work of Kumar Murty;Springer Proceedings in Mathematics & Statistics;2018
3. Fourier coefficients of forms of CM-type;Indian Journal of Pure and Applied Mathematics;2014-10
4. On the coefficients of an eigenform;Journal of Number Theory;2014-04