Statements (18)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | gptkb:mathematical_concept | 
| gptkbp:field | number theory | 
| gptkbp:implies | Möbius function exhibits pseudorandomness No deterministic sequence can correlate with the Möbius function | 
| gptkbp:proposedBy | gptkb:Peter_Sarnak | 
| gptkbp:relatedTo | gptkb:Möbius_function gptkb:prime_number_theorem gptkb:Liouville_function gptkb:Chowla_conjecture gptkb:Sarnak's_conjecture dynamical systems ergodic theory | 
| gptkbp:state | The Möbius function is asymptotically orthogonal to any deterministic sequence. | 
| gptkbp:status | open problem | 
| gptkbp:yearProposed | 2010 | 
| gptkbp:bfsParent | gptkb:Sarnak's_conjecture | 
| gptkbp:bfsLayer | 8 | 
| https://www.w3.org/2000/01/rdf-schema#label | Möbius randomness principle |