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Counting Extensions of $\mathfrak{p}$-Adic Fields with Given Invariants by Sinclair, Brian is a scholarly article available to read on EtoBox.

What is Counting Extensions of $\mathfrak{p}$-Adic Fields with Given Invariants about?

We give two specializations of Krasner's mass formula. The first formula yields the number of extensions of a $\mathfrak{p}$-adic field with given, inertia degree, ramification index, discriminant, and ramification polygon. We then refine this formula further to the case where an additional invariant related to the residual polynomials of the segments of the ramification polygon is given.

Author

Sinclair, Brian

Published

2015

Language

EN