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 2016Show all

2 papers · 1 filter

math.NT2016★ 2 cited

Statistics of genus numbers of cubic fields

Kevin J. McGown, Amanda Tucker

We prove that approximately $96.23%$ of cubic fields, ordered by discriminant, have genus number one, and we compute the exact proportion of cubic fields with a given genus number…

math.NT2016

The Euclidean algorithm in quintic and septic cyclic fields

Pierre Lezowski, Kevin J. McGown

Conditionally on the Generalized Riemann Hypothesis (GRH), we prove the following results: (1) a cyclic number field of degree $5$ is norm-Euclidean if and only if $Δ=11^4,31^4,41^…