Lehmer's Mahler measure polynomial
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:alsoKnownAs |
Lehmer polynomial
|
| gptkbp:coefficients |
1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1
|
| gptkbp:degree |
10
|
| gptkbp:discoveredBy |
gptkb:D._H._Lehmer
|
| gptkbp:discoveredIn |
1933
|
| gptkbp:explicitForm |
x^{10} + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 + x + 1
|
| gptkbp:hasRootOnUnitCircle |
false
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lehmer's Mahler measure polynomial
|
| gptkbp:irreducible |
true
|
| gptkbp:MahlerMeasure |
1.176280818... (Lehmer's number)
|
| gptkbp:minimalMahlerMeasureKnown |
true
|
| gptkbp:roots |
all roots are on or outside the unit circle
|
| gptkbp:usedIn |
gptkb:Lehmer's_conjecture
|
| gptkbp:bfsParent |
gptkb:Lehmer's_polynomial
|
| gptkbp:bfsLayer |
7
|