Reference : On the Distribution of Frobenius of Weight 2 Eigenforms with Quadratic Coefficient Field
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/23097
On the Distribution of Frobenius of Weight 2 Eigenforms with Quadratic Coefficient Field
English
Van Hirtum, Jasper mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit ; KU Leuven > Mathematics > PhD student]
28-Aug-2015
Arxiv.org
46
Yes
[en] Number Theory ; Arithmetic
[en] In this article we present a heuristic model that describes the asymptotic behaviour of the number of primes p such that the p-th coefficient of a given eigenform is a rational integer. We treat the case of a weight 2 eigenform with quadratic coefficient field without inner twists. Moreover we present numerical data which agrees with our model and the assumptions we made to obtain it.
Researchers
http://hdl.handle.net/10993/23097
http://arxiv.org/abs/1508.07206

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