John Yin

activity

20222026

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math.NT2022

A Chebotarev Density Theorem over Local Fields

Asvin G, Yifan Wei, John Yin

We compute the $p$ -adic densities of points with a given splitting type along a (generically) finite map, analogous to the classical Chebotarev theorem over number fields and funct…

math.NT2022

Density of $p$ -adic polynomials generating extensions with fixed splitting type

John Yin

We prove that the density of polynomials $P (x) = \sum_{i = 0}^{n} a_{n} x^{n}$ over a local field $K$ generating an étale extension with specified splitting type is a rational function in te…

A Chebotarev Density Theorem over Local Fields

Density of p-adic polynomials generating extensions with fixed splitting type

Density of $p$ -adic polynomials generating extensions with fixed splitting type