Chebyshev S

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs Chebyshev function S(x)
gptkbp:appearsIn explicit formulas for prime counting
gptkbp:defines S(x) = sum_{p^k ≤ x} log p, where p is prime and k ≥ 1
gptkbp:describes distribution of prime powers
gptkbp:field number theory
https://www.w3.org/2000/01/rdf-schema#label Chebyshev S
gptkbp:namedAfter gptkb:Pafnuty_Chebyshev
gptkbp:relatedTo gptkb:prime_number_theorem
Chebyshev function θ(x)
gptkbp:usedIn analytic number theory
gptkbp:bfsParent gptkb:Chebyshev_(crater)
gptkbp:bfsLayer 7