An Erdős-Kac law for local solubility in families of varieties

Daniel Loughran; Efthymios Sofos

doi:10.1007/s00029-021-00645-2

An Erdős-Kac law for local solubility in families of varieties

Daniel Loughran, Efthymios Sofos

Department of Mathematical Sciences

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Abstract

We study probability distributions arising from local obstructions to the existence of p-adic points in families of varieties. In certain cases we show that an Erdős–Kac type normal distribution law holds.

Original language	English
Article number	42
Journal	Selecta Mathematica
Volume	27
Issue number	3
DOIs	https://doi.org/10.1007/s00029-021-00645-2
Publication status	Published - 4 Jun 2021

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© 2021, The Author(s).

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abstract = "We study probability distributions arising from local obstructions to the existence of p-adic points in families of varieties. In certain cases we show that an Erd{\H o}s–Kac type normal distribution law holds.",

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An Erdős-Kac law for local solubility in families of varieties

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