Peter Gustav Lejeune Dirichlet
E105365
Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Peter Gustav Lejeune Dirichlet canonical | 8 |
| Johann Peter Gustav Lejeune Dirichlet | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T846885 — 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: Peter Gustav Lejeune Dirichlet Context triple: [Leopold Kronecker, doctoralAdvisor, Peter Gustav Lejeune Dirichlet]
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A.
Karl Weierstrass
Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
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B.
Ernst Eduard Kummer
Ernst Eduard Kummer was a 19th-century German mathematician renowned for his foundational work in number theory, particularly on ideal numbers and Fermat's Last Theorem.
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C.
Carl Gustav Jacob Jacobi
Carl Gustav Jacob Jacobi was a 19th-century German mathematician renowned for his fundamental contributions to elliptic functions, number theory, and differential equations.
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D.
Augustin-Louis Cauchy
Augustin-Louis Cauchy was a pioneering 19th-century French mathematician whose rigorous foundations for calculus and complex analysis profoundly shaped modern mathematics.
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E.
Bernhard Riemann
Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
- 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: Peter Gustav Lejeune Dirichlet Target entity description: Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
-
A.
Karl Weierstrass
Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
-
B.
Ernst Eduard Kummer
Ernst Eduard Kummer was a 19th-century German mathematician renowned for his foundational work in number theory, particularly on ideal numbers and Fermat's Last Theorem.
-
C.
Carl Gustav Jacob Jacobi
Carl Gustav Jacob Jacobi was a 19th-century German mathematician renowned for his fundamental contributions to elliptic functions, number theory, and differential equations.
-
D.
Augustin-Louis Cauchy
Augustin-Louis Cauchy was a pioneering 19th-century French mathematician whose rigorous foundations for calculus and complex analysis profoundly shaped modern mathematics.
-
E.
Bernhard Riemann
Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
- F. None of above. chosen
Statements (54)
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: Peter Gustav Lejeune Dirichlet Description of subject: Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
Referenced by (9)
Full triples — surface form annotated when it differs from this entity's canonical label.