Lehmer's conjecture
id:
lehmer-s-conjecture-200-15108677
title:
Lehmer's conjecture
text:
Lehmer's conjecture, also known as the Lehmer's Mahler measure problem, is a problem in number theory raised by Derrick Henry Lehmer. The conjecture asserts that there is an absolute constant μ > 1 such that every polynomial with integer coefficients P ∈ Z [ x ] satisfies one of the following properties: The Mahler measure M of P is greater than or equal to μ . P is an integral multiple of a product of cyclotomic polynomials or the monomial x , in which case M = 1 . There are a number of definit
brand slug:
wiki
category slug:
encyclopedia
description:
Proposed lower bound on the Mahler measure for polynomials with integer coefficients
original url:
https://en.wikipedia.org/wiki/Lehmer%27s_conjecture
date created:
date modified:
2023-11-28T00:45:44Z
main entity:
{"identifier":"Q6518929","url":"https://www.wikidata.org/entity/Q6518929"}
image:
fields total:
13
integrity:
14