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- Lehmer's_conjecture abstract "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 such that every polynomial with integer coefficients satisfies one of the following properties: The Mahler measure of is greater than or equal to . is an integral multiple of a product of cyclotomic polynomials or the monomial , in which case . (Equivalently, every complex root of is a root of unity or zero.)There are a number of definitions of the Mahler measure, one of which is to factor over asand then setThe smallest known Mahler measure (greater than 1) is for "Lehmer's polynomial"for which the Mahler measure is the Salem numberIt is widely believed that this example represents the true minimal value: that is, in Lehmer's conjecture.".
- Lehmer's_conjecture wikiPageExternalLink Lehmer.
- Lehmer's_conjecture wikiPageID "13739985".
- Lehmer's_conjecture wikiPageRevisionID "598922171".
- Lehmer's_conjecture hasPhotoCollection Lehmer's_conjecture.
- Lehmer's_conjecture title "Lehmer's Mahler Measure Problem".
- Lehmer's_conjecture urlname "LehmersMahlerMeasureProblem".
- Lehmer's_conjecture subject Category:Conjectures.
- Lehmer's_conjecture subject Category:Polynomials.
- Lehmer's_conjecture subject Category:Theorems_in_number_theory.
- Lehmer's_conjecture type Abstraction100002137.
- Lehmer's_conjecture type Cognition100023271.
- Lehmer's_conjecture type Communication100033020.
- Lehmer's_conjecture type Concept105835747.
- Lehmer's_conjecture type Conjectures.
- Lehmer's_conjecture type Content105809192.
- Lehmer's_conjecture type Function113783816.
- Lehmer's_conjecture type Hypothesis105888929.
- Lehmer's_conjecture type Idea105833840.
- Lehmer's_conjecture type MathematicalRelation113783581.
- Lehmer's_conjecture type Message106598915.
- Lehmer's_conjecture type Polynomial105861855.
- Lehmer's_conjecture type Polynomials.
- Lehmer's_conjecture type Proposition106750804.
- Lehmer's_conjecture type PsychologicalFeature100023100.
- Lehmer's_conjecture type Relation100031921.
- Lehmer's_conjecture type Speculation105891783.
- Lehmer's_conjecture type Statement106722453.
- Lehmer's_conjecture type Theorem106752293.
- Lehmer's_conjecture type TheoremsInNumberTheory.
- Lehmer's_conjecture comment "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 such that every polynomial with integer coefficients satisfies one of the following properties: The Mahler measure of is greater than or equal to . is an integral multiple of a product of cyclotomic polynomials or the monomial , in which case .".
- Lehmer's_conjecture label "Lehmer's conjecture".
- Lehmer's_conjecture label "レーマーの予想".
- Lehmer's_conjecture sameAs レーマーの予想.
- Lehmer's_conjecture sameAs m.03cgsp8.
- Lehmer's_conjecture sameAs Q6518929.
- Lehmer's_conjecture sameAs Q6518929.
- Lehmer's_conjecture sameAs Lehmer's_conjecture.
- Lehmer's_conjecture wasDerivedFrom Lehmer's_conjecture?oldid=598922171.
- Lehmer's_conjecture isPrimaryTopicOf Lehmer's_conjecture.