HUMPHRIES, PETER;
(2014)
On the Mertens Conjecture for Elliptic Curves Over Finite Fields.
Bulletin of the Australian Mathematical Society
, 89
(01)
pp. 19-32.
10.1017/S0004972712001116.
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Abstract
We introduce an analogue of the Mertens conjecture for elliptic curves over finite fields. Using a result of Waterhouse, we classify the isogeny classes of elliptic curves for which this conjecture holds in terms of the size of the finite field and the trace of the Frobenius endomorphism acting on the curve.
| Type: | Article |
|---|---|
| Title: | On the Mertens Conjecture for Elliptic Curves Over Finite Fields |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/S0004972712001116 |
| Publisher version: | http://dx.doi.org/10.1017/S0004972712001116 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1569443 |
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