1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NT2026
Distinguished defining polynomials for extensions of p-adic fields
Jordi Guàrdia i Rúbies, John W. Jones, Kevin Keating +3
We give an algorithm for choosing a distinguished defining polynomial for a p-adic field extension. This algorithm formed an important ingredient in the recent expansion of the dat…
math.NT2025
Families of p-adic fields
Jordi Guàrdia Rúbies, John W. Jones, Kevin Keating +3
We improve the database of -adic fields in the LMFDB by systematically using Krasner-Monge polynomials and working relatively as well as absolutely. These improvements organize…
math.NT1999★ 1 cited
Density of cubic field discriminants
David P. Roberts
In this paper we give a conjectural refinement of the Davenport-Heilbronn theorem on the density of cubic field discriminants. We explain how this refinement is plausible theoretic…