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

Loughran, D. and Sofos, E. (2021) An Erdős–Kac law for local solubility in families of varieties. Selecta Mathematica, 27, 42. (doi: 10.1007/s00029-021-00645-2)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Sofos, Dr Efthymios
Authors: Loughran, D., and Sofos, E.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Selecta Mathematica
Publisher:Springer
ISSN:1022-1824
ISSN (Online):1420-9020
Copyright Holders:Copyright © The Author(s) 2021
First Published:First published in Selecta Mathematica 27:42
Publisher Policy:Reproduced under a Creative Commons licence

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