1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.NT2015
Counting Extensions of -Adic Fields with Given Invariants
Brian Sinclair
We give two specializations of Krasner's mass formula. The first formula yields the number of extensions of a -adic field with given, inertia degree, ramification ind…
math.NT2015★ 1 cited
Enumerating Extensions of -Adic Fields with Given Invariants
Sebastian Pauli, Brian Sinclair
We give an algorithm that constructs a minimal set of polynomials defining all extension of a -adic field with given, inertia degree, ramification index, discriminant, ramific…