Λ
E824085
Λ is the standard symbol used to denote the de Bruijn–Newman constant, a real number arising in the study of the zeros of the Riemann zeta function and related Fourier transforms.
Statements (24)
| Predicate | Object |
|---|---|
| instanceOf | mathematical constant ⓘ |
| arisesIn |
study of Fourier transforms related to the Riemann zeta function
ⓘ
study of zeros of the Riemann zeta function ⓘ |
| associatedWith |
Riemann Hypothesis
NERFINISHED
ⓘ
distribution of zeros of entire functions ⓘ |
| conjecturedProperty |
Λ = 0 if and only if the Riemann Hypothesis is true
ⓘ
Λ ≥ 0 ⓘ |
| denotes | de Bruijn–Newman constant NERFINISHED ⓘ |
| field |
Fourier analysis
ⓘ
complex analysis ⓘ number theory ⓘ |
| knownProperty |
Λ is bounded above
ⓘ
Λ is finite ⓘ |
| namedAfter |
Charles Newman
NERFINISHED
ⓘ
Nicolaas Govert de Bruijn NERFINISHED ⓘ |
| property | real-valued constant ⓘ |
| relatedTo |
Fourier transform of the Riemann xi-function
ⓘ
Riemann xi-function NERFINISHED ⓘ |
| role | parameter controlling zero distribution deformation ⓘ |
| standardNotationFor | de Bruijn–Newman constant NERFINISHED ⓘ |
| symbolType | uppercase Greek letter lambda ⓘ |
| usedIn |
analytic number theory
ⓘ
de Bruijn–Newman theory NERFINISHED ⓘ study of zero distributions of entire functions of order 1 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.