Kevin J. McGown

activity

20102026

most citedStatistics of genus numbers of cubic fields

2 citations · 5 across the 18 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.NT2010

On the second smallest prime non-residue

Kevin J. McGown

Let $χ$ be a non-principal Dirichlet character modulo a prime $p$ . Let $q_{1} < q_{2}$ denote the two smallest prime non-residues of $χ$ . We give explicit upper bounds on $q_{2}$ that impr…

math.NT2010

On the constant in Burgess' bound for the number of consecutive residues or non-residues

Kevin J. McGown

We give an explicit version of a result due to D. Burgess. Let $χ$ be a non-principal Dirichlet character modulo a prime $p$ . We show that the maximum number of consecutive integer…

math.NT2010

Norm-Euclidean Galois fields

Kevin J. McGown

Let K be a Galois number field of prime degree $ℓ$ . Heilbronn showed that for a given $ℓ$ there are only finitely many such fields that are norm-Euclidean. In the case of $\e…