%0 Journal Article
%T On pointless diagonal Fermat curves
%A Alexander P. McAvoy
%J Mathematics
%D 2011
%I arXiv
%X We give an improved asymptotic upper bound on the number of diagonal Fermat curves $Ax^{\ell}+By^{\ell}=z^{\ell}$ over $\mathbb{F}_{q}$ with no $\mathbb{F}_{q}$-rational points, where $\ell$ is a prime number dividing $q-1$.
%U http://arxiv.org/abs/1105.4192v1