On the Mertens conjecture for elliptic curves over finite fields

Authors

  • P. Humphries Princeton University

Keywords:

Mertens conjecture, elliptic curve, finite field, function field

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 the size of the finite field and the trace of the Frobenius endomorphism acting on the curve. 10.1017/S0004972712001116

Published

2013-12-02

Issue

Vol. 89 No. 1 (2014)

Section

Articles
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