Mahler measure
id:
mahler-measure-238-1464352
title:
Mahler measure
text:
In mathematics, the Mahler measure M of a polynomial p with complex coefficients is defined as where p factorizes over the complex numbers C as The Mahler measure can be viewed as a kind of height function. Using Jensen's formula, it can be proved that this measure is also equal to the geometric mean of | p | for z on the unit circle: By extension, the Mahler measure of an algebraic number α is defined as the Mahler measure of the minimal polynomial of α over Q . In particular, if α is a Pisot n
brand slug:
wiki
category slug:
encyclopedia
description:
Measure of polynomial height
original url:
https://en.wikipedia.org/wiki/Mahler_measure
date created:
date modified:
2023-12-11T17:54:49Z
main entity:
{"identifier":"Q6734205","url":"https://www.wikidata.org/entity/Q6734205"}
image:
fields total:
13
integrity:
14