Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
unsolved problems in mathematics
|
| gptkbp:concerns |
gptkb:Mahler_measure
algebraic integers |
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lehmer's conjecture
|
| gptkbp:notableExample |
gptkb:Lehmer's_polynomial
|
| gptkbp:notableMahlerMeasure |
1.176280818...
|
| gptkbp:proposedBy |
gptkb:D._H._Lehmer
|
| gptkbp:relatedTo |
gptkb:Lehmer's_number
gptkb:Salem_number Pisot number |
| gptkbp:state |
There exists a positive lower bound greater than 1 for the Mahler measure of any non-cyclotomic monic integer polynomial.
|
| gptkbp:status |
open
|
| gptkbp:yearProposed |
1933
|
| gptkbp:bfsParent |
gptkb:Derrick_H._Lehmer
|
| gptkbp:bfsLayer |
5
|