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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Λ canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9838797 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Λ Context triple: [de Bruijn–Newman constant, symbol, Λ]
-
A.
Le
Le is a common Vietnamese surname shared by many notable figures in the country’s history and culture.
-
B.
LK
LK is the two-letter ISO 3166-1 alpha-2 country code assigned to Sri Lanka for international standardization and identification purposes.
-
C.
L
The L is a New York City Subway line that runs crosstown through Manhattan and into Brooklyn, including service to neighborhoods such as Canarsie.
-
D.
L
L is a Swedish liberal political party known for advocating individual freedom, social responsibility, and pro-European policies.
-
E.
L
The L is a Chicago 'L' rapid transit line that serves the city’s West Side and western suburbs as part of the Chicago Transit Authority system.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Λ Target entity description: 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.
-
A.
Le
Le is a common Vietnamese surname shared by many notable figures in the country’s history and culture.
-
B.
LK
LK is the two-letter ISO 3166-1 alpha-2 country code assigned to Sri Lanka for international standardization and identification purposes.
-
C.
L
The L is a New York City Subway line that runs crosstown through Manhattan and into Brooklyn, including service to neighborhoods such as Canarsie.
-
D.
L
L is a Swedish liberal political party known for advocating individual freedom, social responsibility, and pro-European policies.
-
E.
L
L is a light rail service line in San Francisco’s Muni Metro system.
- F. None of above. chosen
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
ⓘ
linked to:
Riemann hypothesis
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 ⓘ |
| field |
Fourier analysis
ⓘ
complex analysis ⓘ number theory ⓘ |
| knownProperty |
Λ is bounded above
ⓘ
Λ is finite ⓘ |
| namedAfter |
Charles Newman
ⓘ
Nicolaas Govert de Bruijn ⓘ
linked to:
N. G. de Bruijn
|
| property | real-valued constant ⓘ |
| relatedTo |
Fourier transform of the Riemann xi-function
ⓘ
Riemann xi-function ⓘ
linked to:
Riemann xi function
|
| role | parameter controlling zero distribution deformation ⓘ |
| standardNotationFor | de Bruijn–Newman constant ⓘ |
| symbolType | uppercase Greek letter lambda ⓘ |
| usedIn |
analytic number theory
ⓘ
de Bruijn–Newman theory ⓘ
linked to:
de Bruijn–Newman constant
study of zero distributions of entire functions of order 1 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Λ Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.