Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:algebra
|
| gptkbp:defines |
logarithmic mean of the absolute value of a polynomial over the unit circle
|
| gptkbp:field |
algebraic number theory
number theory |
| gptkbp:form |
M(P) = exp(∫₀¹ log|P(e^{2πit})| dt) for one-variable polynomials
|
| gptkbp:generalizes |
absolute value of a number
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mahler measure
|
| gptkbp:introducedIn |
1962
|
| gptkbp:namedAfter |
gptkb:Kurt_Mahler
|
| gptkbp:notation |
M(P)
|
| gptkbp:property |
multiplicative for product of polynomials
|
| gptkbp:relatedTo |
height of an algebraic number
|
| gptkbp:studiedIn |
gptkb:algebraic_geometry
arithmetic dynamics |
| gptkbp:usedIn |
gptkb:Lehmer's_problem
|
| gptkbp:bfsParent |
gptkb:Kurt_Mahler
gptkb:Lehmer's_conjecture |
| gptkbp:bfsLayer |
6
|