Leonard Carlitz
E437489
Leonard Carlitz was an American mathematician known for his extensive work in number theory, combinatorics, and finite fields, and for being one of the most prolific mathematical authors of the 20th century.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Leonard Carlitz canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4416547 — 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: Leonard Carlitz Context triple: [Marshall Hall, notableStudent, Leonard Carlitz]
-
A.
George Schaefer
George Schaefer was an American film executive and producer best known for his leadership at RKO Radio Pictures during the early 1940s, where he supported innovative projects such as Orson Welles’s work.
-
B.
Joseph Leese
Joseph Leese was a British Liberal politician and barrister who served as Member of Parliament for Accrington in the late 19th and early 20th centuries.
-
C.
Walter Naegle
Walter Naegle is an American activist and archivist best known as the longtime partner and estate executor of civil rights leader Bayard Rustin.
-
D.
Louis Nebert
Louis Nebert was the 19th-century publisher responsible for bringing Gottlob Frege’s groundbreaking logical work *Begriffsschrift* into print.
-
E.
Louis Lingg
Louis Lingg was a German-born anarchist and labor activist best known as one of the defendants in the 1886 Haymarket affair in Chicago.
- 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: Leonard Carlitz Target entity description: Leonard Carlitz was an American mathematician known for his extensive work in number theory, combinatorics, and finite fields, and for being one of the most prolific mathematical authors of the 20th century.
-
A.
George Schaefer
George Schaefer was an American film executive and producer best known for his leadership at RKO Radio Pictures during the early 1940s, where he supported innovative projects such as Orson Welles’s work.
-
B.
Joseph Leese
Joseph Leese was a British Liberal politician and barrister who served as Member of Parliament for Accrington in the late 19th and early 20th centuries.
-
C.
Walter Naegle
Walter Naegle is an American activist and archivist best known as the longtime partner and estate executor of civil rights leader Bayard Rustin.
-
D.
Louis Nebert
Louis Nebert was the 19th-century publisher responsible for bringing Gottlob Frege’s groundbreaking logical work *Begriffsschrift* into print.
-
E.
Louis Lingg
Louis Lingg was a German-born anarchist and labor activist best known as one of the defendants in the 1886 Haymarket affair in Chicago.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| centuryOfActivity | 20th century ⓘ |
| countryOfCitizenship | United States of America ⓘ |
| describedBySource |
MacTutor History of Mathematics archive
ⓘ
Mathematics Genealogy Project ⓘ |
| doctoralAdvisor | Leonard Eugene Dickson ⓘ |
| educatedAt |
University of Pennsylvania
ⓘ
University of Wisconsin–Madison ⓘ |
| employer | Duke University ⓘ |
| fieldOfWork |
algebra
ⓘ
combinatorial identities ⓘ combinatorics ⓘ finite fields ⓘ mathematics ⓘ number theory ⓘ orthogonal polynomials ⓘ permutation enumeration ⓘ q-series ⓘ special functions ⓘ |
| genre | mathematical research papers ⓘ |
| hasAcademicDiscipline | pure mathematics ⓘ |
| hasCitationCount | one of the most prolific mathematical authors of the 20th century ⓘ |
| hasInfluenced |
combinatorial number theory
ⓘ
development of function field arithmetic ⓘ theory of Drinfeld modules ⓘ |
| hasWork |
papers on combinatorial identities
ⓘ
papers on finite field arithmetic ⓘ papers on permutation enumeration ⓘ papers on q-series ⓘ papers on special functions ⓘ |
| languageOfWorkOrName | English ⓘ |
| memberOf | American Mathematical Society ⓘ |
| notableFor |
Carlitz binomial coefficients
ⓘ
Carlitz exponential ⓘ Carlitz identity in combinatorics ⓘ Carlitz module ⓘ
linked to:
Drinfeld modules
Carlitz numbers ⓘ
linked to:
Carlitz q-Bernoulli numbers
Carlitz polynomials ⓘ Carlitz q-Bernoulli numbers ⓘ prolific mathematical publications ⓘ work on finite fields ⓘ work on number-theoretic functions ⓘ |
| positionHeld | professor of mathematics at Duke University ⓘ |
| sexOrGender | male ⓘ |
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: Leonard Carlitz Description of subject: Leonard Carlitz was an American mathematician known for his extensive work in number theory, combinatorics, and finite fields, and for being one of the most prolific mathematical authors of the 20th century.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.