Sarnak conjecture

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:field dynamical systems
number theory
gptkbp:hasPartialResults nilsequences
rank-one systems
zero entropy systems
https://www.w3.org/2000/01/rdf-schema#label Sarnak conjecture
gptkbp:implies connections between number theory and ergodic theory
randomness of Möbius function
gptkbp:influencedBy work of Bourgain
work of Furstenberg
work of Green and Tao
gptkbp:proposedBy gptkb:Peter_Sarnak
gptkbp:publishedIn gptkb:Notices_of_the_AMS
gptkbp:relatedTo gptkb:Möbius_function
gptkb:Chowla_conjecture
dynamical systems
randomness
gptkbp:sentence The Möbius function is asymptotically orthogonal to any deterministic sequence.
gptkbp:status open
gptkbp:yearProposed 2009
gptkbp:bfsParent gptkb:Peter_Sarnak
gptkbp:bfsLayer 4