The uniform primality conjecture for elliptic curves
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Everest, Graham, Ingram, Patrick, Mahé, Valéry and Stevens, Shaun (2008) The uniform primality conjecture for elliptic curves. Acta Arithmetica, 134 (2). pp. 157-181. ISSN 0065-1036
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Abstract
An elliptic divisibility sequence, generated by a point in the image of a rational isogeny, is shown to possess a uniformly bounded number of prime terms. This result applies over the rational numbers, assuming Lang's conjecture, and over the rational function field, unconditionally. In the latter case, a uniform bound is obtained on the index of a prime term. Sharpened versions of these techniques are shown to lead to explicit results where all the irreducible terms can be computed.
Item Type: | Article |
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Faculty \ School: | Faculty of Science > School of Mathematics |
Related URLs: | |
Depositing User: | Vishal Gautam |
Date Deposited: | 18 Mar 2011 14:44 |
Last Modified: | 21 Jul 2020 23:38 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/20952 |
DOI: | 10.4064/aa134-2-7 |
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