Chowla–Mordell theorem

id: chowla-mordell-theorem-318-11488987
title: Chowla–Mordell theorem
text: In mathematics, the Chowla–Mordell theorem is a result in number theory determining cases where a Gauss sum is the square root of a prime number, multiplied by a root of unity. It was proved and published independently by Sarvadaman Chowla and Louis Mordell, around 1951. In detail, if p is a prime number, χ a nontrivial Dirichlet character modulo p , and where ζ is a primitive p -th root of unity in the complex numbers, then is a root of unity if and only if χ is the quadratic residue symbol mod
brand slug: wiki
category slug: encyclopedia
description: When a Gauss sum is the square root of a prime number, multiplied by a root of unity
original url: https://en.wikipedia.org/wiki/Chowla%E2%80%93Mordell_theorem
date created:
date modified: 2023-04-05T04:43:20Z
main entity: {"identifier":"Q4991415","url":"https://www.wikidata.org/entity/Q4991415"}
image:
fields total: 13
integrity: 14

Related Entries

Explore Next Part