Gun, Sanoli ; Kumar Murty, V. (2011) A Variant of Lehmer’s Conjecture, II: The CM-case Canadian Journal of Mathematics, 63 (2). pp. 298-326. ISSN 0008-414X
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Official URL: http://doi.org/10.4153/CJM-2011-002-4
Related URL: http://dx.doi.org/10.4153/CJM-2011-002-4
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Canadian Mathematical Society. |
| Keywords: | 11F11; 11F30. |
| ID Code: | 118017 |
| Deposited On: | 11 May 2021 06:28 |
| Last Modified: | 11 May 2021 06:28 |
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