eprintid: 1569443
rev_number: 17
eprint_status: archive
userid: 608
dir: disk0/01/56/94/43
datestamp: 2017-10-25 14:57:45
lastmod: 2020-08-02 00:03:26
status_changed: 2017-10-25 14:57:45
type: article
metadata_visibility: show
creators_name: HUMPHRIES, PETER
title: On the Mertens Conjecture for Elliptic Curves Over Finite Fields
ispublished: pub
divisions: UCL
divisions: A01
divisions: B04
divisions: C06
note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
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.
date: 2014-02
date_type: published
official_url: http://dx.doi.org/10.1017/S0004972712001116
oa_status: green
full_text_type: other
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 1410912
doi: 10.1017/S0004972712001116
lyricists_name: Humphries, Peter
lyricists_id: PHUMP20
actors_name: Humphries, Peter
actors_id: PHUMP20
actors_role: owner
full_text_status: public
publication: Bulletin of the Australian Mathematical Society
volume: 89
number: 01
pagerange: 19-32
issn: 1755-1633
citation:        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 <https://doi.org/10.1017/S0004972712001116>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/1569443/1/Humphries_on_the_mertens_conjecture_for_elliptic_curves.pdf