Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:debunkedBy |
gptkb:Herman_te_Riele
gptkb:Andrew_Odlyzko |
| gptkbp:field |
number theory
|
| gptkbp:formedBy |
1897
|
| gptkbp:namedAfter |
gptkb:Franz_Mertens
|
| gptkbp:relatedTo |
gptkb:Riemann_hypothesis
Mertens function |
| gptkbp:sentence |
The absolute value of the Mertens function M(n) is always less than or equal to sqrt(n) for all n > 1.
|
| gptkbp:status |
disproved
|
| gptkbp:yearDisproved |
1985
|
| gptkbp:bfsParent |
gptkb:Jean-François_Mertens
gptkb:Franz_Mertens |
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mertens conjecture
|