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- W4309591650 abstract "We prove that the density of polynomials $P(x)=sum_{i=0}^n a_n x^n$ over a local field $K$ generating an 'etale extension with specified splitting type is a rational function in terms of the size of the residue field of $K$ in the case where the splitting type is tame. Moreover, we give a computable recursive formula for these densities and compute the asymptotics of this density as the size of the residue field tends to infinity." @default.
- W4309591650 created "2022-11-28" @default.
- W4309591650 creator A5083452260 @default.
- W4309591650 date "2022-11-18" @default.
- W4309591650 modified "2023-10-16" @default.
- W4309591650 title "Density of $p$-adic polynomials generating extensions with fixed splitting type" @default.
- W4309591650 doi "https://doi.org/10.48550/arxiv.2211.10425" @default.
- W4309591650 hasPublicationYear "2022" @default.
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