On the second smallest prime non-residue

Details On the second smallest prime non-residue On the second smallest prime non-residue

2010-11-19

arxiv.org/abs/1011.4492v1

Mathematics

Number Theory

Scientific paper

Let $\chi$ be a non-principal Dirichlet character modulo a prime $p$. Let
$q_1explicit upper bounds on $q_2$ that improve upon all known results. We also
provide a good upper estimate on the product $q_1 q_2$ which has an upcoming
application to the study of norm-Euclidean Galois fields.

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