Dirichlet
E466243
Dirichlet was a 19th-century German mathematician renowned for foundational contributions to number theory and mathematical analysis, including Dirichlet's theorem on arithmetic progressions and the formalization of the concept of a function.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Dirichlet canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4746220 — 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: Dirichlet Context triple: [Peter Gustav Lejeune Dirichlet, familyName, Dirichlet]
-
A.
Wirtinger
Wirtinger is a surname most notably associated with Austrian mathematician Wilhelm Wirtinger, known for his contributions to complex analysis and knot theory.
-
B.
Leonhard
Leonhard is a masculine given name most famously borne by the prolific 18th-century Swiss mathematician and physicist Leonhard Euler.
-
C.
Schröder
Schröder is a common German surname borne by numerous notable figures in politics, sports, and the arts.
-
D.
Neumann
Neumann is a variant spelling of the surname Newman, commonly of German origin and borne by various notable figures in science, mathematics, and the arts.
-
E.
Khinchin
Khinchin is a Russian surname most notably associated with Aleksandr Khinchin, a prominent mathematician known for his contributions to probability theory and number theory.
- 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: Dirichlet Target entity description: Dirichlet was a 19th-century German mathematician renowned for foundational contributions to number theory and mathematical analysis, including Dirichlet's theorem on arithmetic progressions and the formalization of the concept of a function.
-
A.
Wirtinger
Wirtinger is a surname most notably associated with Austrian mathematician Wilhelm Wirtinger, known for his contributions to complex analysis and knot theory.
-
B.
Leonhard
Leonhard is a masculine given name most famously borne by the prolific 18th-century Swiss mathematician and physicist Leonhard Euler.
-
C.
Schröder
Schröder is a common German surname borne by numerous notable figures in politics, sports, and the arts.
-
D.
Neumann
Neumann is a variant spelling of the surname Newman, commonly of German origin and borne by various notable figures in science, mathematics, and the arts.
-
E.
Khinchin
Khinchin is a Russian surname most notably associated with Aleksandr Khinchin, a prominent mathematician known for his contributions to probability theory and number theory.
- F. None of above. chosen
Statements (52)
| Predicate | Object |
|---|---|
| instanceOf |
German mathematician
ⓘ
human ⓘ mathematician ⓘ |
| birthCountry | France ⓘ |
| birthDate | 1805-02-13 ⓘ |
| birthPlace | Düren NERFINISHED ⓘ |
| birthRegion | Rhineland NERFINISHED ⓘ |
| citizenship |
Germany
ⓘ
Kingdom of Prussia NERFINISHED ⓘ |
| deathDate | 1859-05-05 ⓘ |
| employer |
University of Berlin
NERFINISHED
ⓘ
University of Göttingen NERFINISHED ⓘ |
| era | 19th century ⓘ |
| familyName | Dirichlet NERFINISHED ⓘ |
| fieldOfWork |
mathematical analysis
ⓘ
mathematical physics ⓘ number theory ⓘ partial differential equations ⓘ |
| fullName | Johann Peter Gustav Lejeune Dirichlet NERFINISHED ⓘ |
| givenName |
Johann
NERFINISHED
ⓘ
Peter ⓘ |
| influenced |
Bernhard Riemann
NERFINISHED
ⓘ
Leopold Kronecker NERFINISHED ⓘ Richard Dedekind NERFINISHED ⓘ |
| influencedBy |
Carl Friedrich Gauss
NERFINISHED
ⓘ
Joseph Fourier NERFINISHED ⓘ |
| knownFor |
Dirichlet L-functions
NERFINISHED
ⓘ
Dirichlet boundary conditions ⓘ Dirichlet characters NERFINISHED ⓘ Dirichlet convolution NERFINISHED ⓘ Dirichlet distribution NERFINISHED ⓘ Dirichlet divisor problem NERFINISHED ⓘ Dirichlet eta function NERFINISHED ⓘ Dirichlet hyperbola method NERFINISHED ⓘ Dirichlet kernel NERFINISHED ⓘ Dirichlet problem NERFINISHED ⓘ Dirichlet process NERFINISHED ⓘ Dirichlet test for convergence NERFINISHED ⓘ Dirichlet's principle NERFINISHED ⓘ Dirichlet's theorem on arithmetic progressions NERFINISHED ⓘ formalization of the concept of a function ⓘ |
| languageOfWorkOrName | German ⓘ |
| memberOf |
Bavarian Academy of Sciences
NERFINISHED
ⓘ
Prussian Academy of Sciences ⓘ |
| notableIdea | rigorous definition of a function as a correspondence between variables ⓘ |
| notableWork | Vorlesungen über Zahlentheorie NERFINISHED ⓘ |
| occupation | university professor ⓘ |
| positionHeld |
professor of mathematics at the University of Berlin
ⓘ
professor of mathematics at the University of Göttingen ⓘ |
| relative |
Abraham Mendelssohn Bartholdy
NERFINISHED
ⓘ
Felix Mendelssohn NERFINISHED ⓘ |
| spouse | Rebecka Mendelssohn NERFINISHED ⓘ |
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: Dirichlet Description of subject: Dirichlet was a 19th-century German mathematician renowned for foundational contributions to number theory and mathematical analysis, including Dirichlet's theorem on arithmetic progressions and the formalization of the concept of a function.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.