Fundamental unit (number theory)
id:
fundamental-unit-number-theory-252-6738850
title:
Fundamental unit (number theory)
text:
In algebraic number theory, a fundamental unit is a generator for the unit group of the ring of integers of a number field, when that group has rank 1. Dirichlet's unit theorem shows that the unit group has rank 1 exactly when the number field is a real quadratic field, a complex cubic field, or a totally imaginary quartic field. When the unit group has rank ≥ 1, a basis of it modulo its torsion is called a fundamental system of units. Some authors use the term fundamental unit to mean any eleme
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Fundamental_unit_(number_theory)
date created:
date modified:
2023-03-07T03:12:57Z
main entity:
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13
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13