de Bruijn–Newman constant

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:defines The infimum of the set of real numbers t such that the zeros of the function H_t(z) are all real for t ≥ Λ.
gptkbp:estimatedCost > -2.7 × 10^{-9}
gptkbp:field gptkb:mathematics
analytic number theory
https://www.w3.org/2000/01/rdf-schema#label de Bruijn–Newman constant
gptkbp:namedAfter gptkb:Nicolaas_Govert_de_Bruijn
gptkb:Charles_M._Newman
gptkbp:property Λ ≥ 0 if and only if the Riemann hypothesis is true.
gptkbp:relatedTo gptkb:Riemann_hypothesis
H_t(z)
gptkbp:status unknown if Λ = 0
gptkbp:studiedBy gptkb:Newman
gptkb:de_Bruijn
gptkbp:symbol Λ
gptkbp:bfsParent gptkb:J._T._P._de_Bruijn
gptkb:Nicolaas_Govert_de_Bruijn
gptkb:A.C.L._de_Bruijn
gptkbp:bfsLayer 7