Ankeny–Artin–Chowla congruence

id: ankeny-artin-chowla-congruence-277-4188458
title: Ankeny–Artin–Chowla congruence
text: In number theory, the Ankeny–Artin–Chowla congruence is a result published in 1953 by N. C. Ankeny, Emil Artin and S. Chowla. It concerns the class number h of a real quadratic field of discriminant d > 0. If the fundamental unit of the field is with integers t and u, it expresses in another form for any prime number p > 2 that divides d. In case p > 3 it states that where m = d p   and   χ   is the Dirichlet character for the quadratic field. For p = 3 there is a factor (1 + m) multiplying the
brand slug: wiki
category slug: encyclopedia
description: Concerns the class number of a real quadratic field of discriminant > 0
original url: https://en.wikipedia.org/wiki/Ankeny%E2%80%93Artin%E2%80%93Chowla_congruence
date created:
date modified: 2023-07-23T03:30:07Z
main entity: {"identifier":"Q2993026","url":"https://www.wikidata.org/entity/Q2993026"}
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fields total: 13
integrity: 14

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