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

Daniel Loughran; Efthymios Sofos

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

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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
Journal	Selecta Mathematica
Publication status	Acceptance date - 8 Aug 2018

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title = "An Erd{\H o}s-Kac law for local solubility in families of varieties",

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.",

author = "Daniel Loughran and Efthymios Sofos",

year = "2018",

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language = "English",

journal = "Selecta Mathematica",

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AU - Sofos, Efthymios

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N2 - 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.

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JO - Selecta Mathematica

JF - Selecta Mathematica

SN - 1022-1824

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