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On the density of a set of primes associated to an elliptic curve

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Arala, Nuno (2023) On the density of a set of primes associated to an elliptic curve. Journal of Number Theory, 243 . pp. 241-255. doi:10.1016/j.jnt.2022.06.007 ISSN 0022-314X.

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Official URL: http://dx.doi.org/10.1016/j.jnt.2022.06.007

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Abstract

For a given elliptic curve E defined over the rationals, we study the density of primes p satisfying and give a conjectural value for this density with strong heuristic evidence for most elliptic curves, in an appropriate sense.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Journal of Number Theory
Publisher: Academic Press
ISSN: 0022-314X
Official Date: February 2023
Dates:
DateEvent
February 2023Published
26 September 2022Available
29 June 2022Accepted
Volume: 243
Page Range: pp. 241-255
DOI: 10.1016/j.jnt.2022.06.007
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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