Möbius randomness principle

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:field number theory
https://www.w3.org/2000/01/rdf-schema#label Möbius randomness principle
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