Three Pearls of Number Theory
E379002
Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Three Pearls of Number Theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3677831 — 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: Three Pearls of Number Theory Context triple: [Aleksandr Khinchin, notableWork, Three Pearls of Number Theory]
-
A.
An Introduction to the Theory of Numbers
An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
-
B.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
-
C.
Unsolved Problems in Number Theory
*Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
-
D.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
-
E.
A Course in Arithmetic
A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
- 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: Three Pearls of Number Theory Target entity description: Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
-
A.
An Introduction to the Theory of Numbers
An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
-
B.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
-
C.
Unsolved Problems in Number Theory
*Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
-
D.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
-
E.
A Course in Arithmetic
A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
nonfiction book ⓘ number theory book ⓘ |
| aim |
to illustrate deep ideas through simple examples
ⓘ
to present elegant number theoretic arguments ⓘ |
| author |
Aigner, Martin
ⓘ
Martin Aigner ⓘ |
| countryOfOrigin | Germany ⓘ |
| creator | Martin Aigner ⓘ |
| describedAs |
classic text in number theory exposition
ⓘ
collection of three elegant problems in number theory ⓘ |
| educationalLevel |
advanced undergraduate
ⓘ
beginning graduate ⓘ |
| educationalUse |
self-study
ⓘ
supplementary reading for number theory courses ⓘ |
| feature |
accessible presentation
ⓘ
detailed proofs ⓘ expository style ⓘ historical remarks ⓘ problem-oriented approach ⓘ |
| field | number theory ⓘ |
| genre | mathematics ⓘ |
| hasPart |
first pearl
ⓘ
second pearl ⓘ third pearl ⓘ |
| hasSubject |
elegant mathematical problems
ⓘ
integer sequences ⓘ mathematical proofs ⓘ properties of integers ⓘ |
| influenced | later expository works in number theory ⓘ |
| intendedAudience |
mathematical enthusiasts
ⓘ
professional mathematicians ⓘ students of mathematics ⓘ |
| language | English ⓘ |
| style |
informal exposition
ⓘ
rigorous ⓘ |
| topic |
Diophantine equations
ⓘ
combinatorial number theory ⓘ elementary number theory ⓘ prime numbers ⓘ |
| workExampleOf | expository mathematics literature ⓘ |
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: Three Pearls of Number Theory Description of subject: Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.