2 papers
math.NT2026
Distinguished defining polynomials for extensions of p-adic fields
Jordi Guà rdia 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 Guà rdia 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…