Brian Sinclair

most citedEnumerating Extensions of

(π)

-Adic Fields with Given Invariants

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math.NT2015

Counting Extensions of $p$ -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 $p$ -adic field with given, inertia degree, ramification ind…

math.NT2015★ 1 cited

Enumerating Extensions of $(π)$ -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 $(π)$ -adic field with given, inertia degree, ramification index, discriminant, ramific…

Counting Extensions of p-Adic Fields with Given Invariants

Enumerating Extensions of (π)-Adic Fields with Given Invariants

Counting Extensions of $p$ -Adic Fields with Given Invariants

Enumerating Extensions of $(π)$ -Adic Fields with Given Invariants