Hans Rademacher
E952741
Hans Rademacher was a German-American mathematician renowned for his contributions to analytic number theory, particularly in the study of modular forms, partitions, and related series.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Hans Rademacher canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11739848 — 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: Hans Rademacher Context triple: [Lambert series, appearsInWorkOf, Hans Rademacher]
-
A.
Franz Rademacher
Franz Rademacher was a Nazi German diplomat and lawyer who headed the Jewish Affairs desk in the Foreign Office and played a key role in planning and implementing anti-Jewish policies, including deportations and genocide.
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B.
Heinz Weber
Heinz Weber is a German former professional football goalkeeper known for his career in the Bundesliga and other European leagues.
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C.
Hermann Weil
Hermann Weil was a German mathematician known for his contributions to number theory, representation theory, and the foundations of modern algebra.
-
D.
Kurt Mahler
Kurt Mahler was a German-born British mathematician renowned for his contributions to number theory and transcendental number theory, including Mahler's classification and Mahler measure.
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E.
Carl Ludwig Siegel
Carl Ludwig Siegel was a German mathematician renowned for his foundational contributions to number theory, celestial mechanics, and the theory of quadratic forms.
- 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: Hans Rademacher Target entity description: Hans Rademacher was a German-American mathematician renowned for his contributions to analytic number theory, particularly in the study of modular forms, partitions, and related series.
-
A.
Franz Rademacher
Franz Rademacher was a Nazi German diplomat and lawyer who headed the Jewish Affairs desk in the Foreign Office and played a key role in planning and implementing anti-Jewish policies, including deportations and genocide.
-
B.
Heinz Weber
Heinz Weber is a German former professional football goalkeeper known for his career in the Bundesliga and other European leagues.
-
C.
Hermann Weil
Hermann Weil was a German mathematician known for his contributions to number theory, representation theory, and the foundations of modern algebra.
-
D.
Kurt Mahler
Kurt Mahler was a German-born British mathematician renowned for his contributions to number theory and transcendental number theory, including Mahler's classification and Mahler measure.
-
E.
Carl Ludwig Siegel
Carl Ludwig Siegel was a German mathematician renowned for his foundational contributions to number theory, celestial mechanics, and the theory of quadratic forms.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
German-American mathematician
ⓘ
human ⓘ mathematician ⓘ |
| countryOfCitizenship |
Germany
ⓘ
United States of America ⓘ |
| educatedAt |
University of Berlin
ⓘ
linked to:
Humboldt University of Berlin
University of Göttingen ⓘ |
| employer |
Institute for Advanced Study
ⓘ
Princeton University ⓘ Swarthmore College ⓘ University of Berlin ⓘ
linked to:
Humboldt University of Berlin
University of Breslau ⓘ University of Pennsylvania ⓘ |
| familyName | Rademacher ⓘ |
| fieldOfWork |
Fourier analysis
ⓘ
analytic number theory ⓘ mathematics ⓘ modular forms ⓘ partition theory ⓘ real analysis ⓘ |
| genre |
mathematics textbook
ⓘ
research article ⓘ |
| givenName | Hans ⓘ |
| knownFor |
applications of modular forms to number theory
ⓘ
development of convergent series for the partition function ⓘ exact formula for the partition function using modular forms ⓘ work on Dedekind sums ⓘ work on trigonometric series ⓘ |
| languageOfWorkOrName |
English
ⓘ
German ⓘ |
| memberOf |
American Mathematical Society
ⓘ
Deutsche Mathematiker-Vereinigung ⓘ |
| notableStudent |
Atle Selberg
ⓘ
E. Grosswald ⓘ
linked to:
Emil Grosswald
George Andrews ⓘ
linked to:
George E. Andrews
Theodore Estermann ⓘ
linked to:
Theodor Estermann
|
| notableWork |
Rademacher complexity (namesake)
ⓘ
Rademacher distribution (namesake) ⓘ Rademacher expansion of the partition function ⓘ Rademacher functions ⓘ Rademacher series ⓘ Rademacher theorem on differentiability of Lipschitz functions ⓘ Rademacher–Carlitz polynomials (namesake) ⓘ
linked to:
Carlitz polynomials
Rademacher–Grosswald book on Dedekind sums (namesake) ⓘ Rademacher–Menchov theorem ⓘ Rademacher–Toeplitz theorem (namesake) ⓘ book "Lectures on Elementary Number Theory" ⓘ book "Topics in Analytic Number Theory" ⓘ |
| occupation | university teacher ⓘ |
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: Hans Rademacher Description of subject: Hans Rademacher was a German-American mathematician renowned for his contributions to analytic number theory, particularly in the study of modular forms, partitions, and related series.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.