Unsolved Problems in Number Theory
E160614
*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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Unsolved Problems in Number Theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1403594 — 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.
Target entity: Unsolved Problems in Number Theory Context triple: [Richard K. Guy, notableWork, Unsolved Problems in Number Theory]
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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.
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B.
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.
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C.
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
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D.
Fermat polygonal number theorem
The Fermat polygonal number theorem is a result in number theory stating that every positive integer can be expressed as a sum of a fixed number of polygonal numbers of a given order.
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E.
Hardy–Ramanujan asymptotic formula
The Hardy–Ramanujan asymptotic formula is a landmark result in number theory that gives an approximate expression for the partition function p(n), describing how the number of integer partitions of n grows rapidly with n.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Unsolved Problems in Number Theory Target entity description: *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.
-
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.
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.
-
C.
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
-
D.
Fermat polygonal number theorem
The Fermat polygonal number theorem is a result in number theory stating that every positive integer can be expressed as a sum of a fixed number of polygonal numbers of a given order.
-
E.
Hardy–Ramanujan asymptotic formula
The Hardy–Ramanujan asymptotic formula is a landmark result in number theory that gives an approximate expression for the partition function p(n), describing how the number of integer partitions of n grows rapidly with n.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
book edition ⓘ book edition ⓘ book edition ⓘ mathematics book ⓘ number theory book ⓘ |
| author |
R. K. Guy
ⓘ
Richard K. Guy ⓘ |
| countryOfOrigin | Canada ⓘ |
| coversTopic |
Diophantine equations
ⓘ
additive number theory ⓘ analytic number theory ⓘ combinatorial number theory ⓘ geometry of numbers ⓘ multiplicative number theory ⓘ prime numbers ⓘ probabilistic number theory ⓘ recreational number theory ⓘ |
| field | number theory ⓘ |
| firstEditionPublicationYear | 1981 ⓘ |
| genre | mathematics ⓘ |
| hasAuthor | Richard K. Guy ⓘ |
| hasEdition |
first edition of Unsolved Problems in Number Theory
ⓘ
second edition of Unsolved Problems in Number Theory ⓘ third edition of Unsolved Problems in Number Theory ⓘ |
| hasFormat | print ⓘ |
| hasPageCountApprox | 450 ⓘ |
| includes |
historical remarks
ⓘ
lists of conjectures ⓘ references to research papers ⓘ |
| intendedAudience |
advanced undergraduates in mathematics
ⓘ
graduate students in mathematics ⓘ research mathematicians ⓘ |
| isbn |
0387208607
ⓘ
0387962549 ⓘ |
| language | English ⓘ |
| mainSubject |
open problems in mathematics
ⓘ
unsolved problems in number theory ⓘ |
| notableFor |
influence on research in number theory
ⓘ
systematic catalog of open problems in number theory ⓘ |
| provides |
bibliographic notes on number theory problems
ⓘ
historical context for number theoretic problems ⓘ survey of open questions in number theory ⓘ |
| publisher |
Springer
ⓘ
Springer ⓘ
surface form:
Springer-Verlag
|
| secondEditionPublicationYear | 1994 ⓘ |
| series | Problem Books in Mathematics ⓘ |
| thirdEditionPublicationYear | 2004 ⓘ |
How these facts were elicited
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Subject: Unsolved Problems in Number Theory Description of subject: *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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.