Hugh L. Montgomery
E577185
Hugh L. Montgomery is an American mathematician renowned for his work in analytic number theory, particularly on the distribution of prime numbers and the zeros of the Riemann zeta function.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Hugh L. Montgomery canonical | 4 |
How this entity was disambiguated
This entity first appeared as the object of triple T2002191 — 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: Hugh L. Montgomery Context triple: [Daniel J. Bernstein, doctoralAdvisor, Hugh L. Montgomery]
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A.
Frank M. Andrews
Frank M. Andrews was a pioneering U.S. Army Air Corps general who played a key role in developing American strategic air power before and during World War II.
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B.
William B. Allison
William B. Allison was a long-serving 19th-century American Republican politician from Iowa who became a powerful U.S. senator and influential figure in national fiscal and legislative policy.
-
C.
John M. Lyle
John M. Lyle was a prominent early 20th-century Canadian architect known for helping shape a distinct national architectural style through major public and civic buildings.
-
D.
George M. Murray
George M. Murray was a religious leader and co-author of the 1963 "A Call for Unity" statement by white clergymen that criticized civil rights demonstrations in Birmingham, Alabama.
-
E.
Arthur K. Bolton
Arthur K. Bolton was the Attorney General of Georgia who defended the state's abortion law in the landmark U.S. Supreme Court case Doe v. Bolton.
- 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: Hugh L. Montgomery Target entity description: Hugh L. Montgomery is an American mathematician renowned for his work in analytic number theory, particularly on the distribution of prime numbers and the zeros of the Riemann zeta function.
-
A.
Frank M. Andrews
Frank M. Andrews was a pioneering U.S. Army Air Corps general who played a key role in developing American strategic air power before and during World War II.
-
B.
William B. Allison
William B. Allison was a long-serving 19th-century American Republican politician from Iowa who became a powerful U.S. senator and influential figure in national fiscal and legislative policy.
-
C.
John M. Lyle
John M. Lyle was a prominent early 20th-century Canadian architect known for helping shape a distinct national architectural style through major public and civic buildings.
-
D.
George M. Murray
George M. Murray was a religious leader and co-author of the 1963 "A Call for Unity" statement by white clergymen that criticized civil rights demonstrations in Birmingham, Alabama.
-
E.
Arthur K. Bolton
Arthur K. Bolton was the Attorney General of Georgia who defended the state's abortion law in the landmark U.S. Supreme Court case Doe v. Bolton.
- F. None of above. chosen
Statements (31)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| academicAdvisor | Harold Davenport ⓘ |
| coAuthor |
Alan Odlyzko
ⓘ
Enrico Bombieri ⓘ Robert C. Vaughan ⓘ |
| countryOfCitizenship | United States of America ⓘ |
| doctoralStudent |
Andrew Granville
ⓘ
Jeffrey Vaaler ⓘ K. Soundararajan ⓘ
linked to:
Kannan Soundararajan
Peter Sarnak ⓘ |
| educatedAt |
University of Cambridge
ⓘ
linked to:
Cambridge University
University of Michigan ⓘ |
| employer | University of Michigan ⓘ |
| fieldOfWork |
analytic number theory
ⓘ
mathematics ⓘ number theory ⓘ |
| hasReceivedAward |
Steele Prize for Mathematical Exposition
ⓘ
linked to:
Steele Prize for Expository Writing
|
| knownFor |
connections between random matrix theory and zeta zeros
ⓘ
pair correlation of zeros of the Riemann zeta function ⓘ results on exponential sums ⓘ results on large sieve inequalities ⓘ results on multiplicative functions ⓘ |
| languageOfWorkOrName | English ⓘ |
| memberOf | American Mathematical Society ⓘ |
| notableWork |
Montgomery pair correlation conjecture
ⓘ
linked to:
Montgomery's pair correlation conjecture
Montgomery–Vaughan book "Multiplicative Number Theory I. Classical Theory" ⓘ Montgomery–Vaughan multiplicative number theory results ⓘ work on distribution of primes ⓘ work on zeros of the Riemann zeta function ⓘ |
| positionHeld | professor of mathematics at the University of Michigan ⓘ |
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: Hugh L. Montgomery Description of subject: Hugh L. Montgomery is an American mathematician renowned for his work in analytic number theory, particularly on the distribution of prime numbers and the zeros of the Riemann zeta function.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.