“Le Grand Crible dans la Théorie Analytique des Nombres”
E571018
“Le Grand Crible dans la Théorie Analytique des Nombres” is a foundational monograph in analytic number theory that develops and applies the large sieve method to problems about the distribution of prime numbers and related arithmetic sequences.
All labels observed (1)
| Label | Occurrences |
|---|---|
| “Le Grand Crible dans la Théorie Analytique des Nombres” canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6150042 — 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: “Le Grand Crible dans la Théorie Analytique des Nombres” Context triple: [Enrico Bombieri, notableWork, “Le Grand Crible dans la Théorie Analytique des Nombres”]
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A.
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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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.
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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D.
Multiplicative Number Theory
Multiplicative Number Theory is a branch of analytic number theory that studies arithmetic functions and prime number distributions through their multiplicative properties and associated Dirichlet series.
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E.
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.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: “Le Grand Crible dans la Théorie Analytique des Nombres” Target entity description: “Le Grand Crible dans la Théorie Analytique des Nombres” is a foundational monograph in analytic number theory that develops and applies the large sieve method to problems about the distribution of prime numbers and related arithmetic sequences.
-
A.
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.
-
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.
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.
-
D.
Multiplicative Number Theory
Multiplicative Number Theory is a branch of analytic number theory that studies arithmetic functions and prime number distributions through their multiplicative properties and associated Dirichlet series.
-
E.
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.
- F. None of above. chosen
Statements (26)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics monograph ⓘ work in analytic number theory ⓘ |
| academicDiscipline | mathematics ⓘ |
| appliesMethod | large sieve NERFINISHED ⓘ |
| concerns | distribution of prime numbers and related sequences ⓘ |
| contribution |
applications of sieve methods to problems about primes
ⓘ
systematic development of the large sieve method in analytic number theory ⓘ |
| field |
analytic number theory
ⓘ
number theory ⓘ |
| focusesOn |
applications of the large sieve to arithmetic sequences
ⓘ
applications of the large sieve to prime distribution ⓘ |
| genre | research monograph ⓘ |
| hasForm | printed book ⓘ |
| intendedAudience |
graduate students in number theory
ⓘ
researchers in analytic number theory ⓘ |
| language | French ⓘ |
| mainSubject |
analytic number theory
ⓘ
arithmetic sequences ⓘ distribution of prime numbers ⓘ large sieve method ⓘ |
| title | Le Grand Crible dans la Théorie Analytique des Nombres NERFINISHED ⓘ |
| topic |
distribution of arithmetic sequences in residue classes
ⓘ
distribution of primes in arithmetic progressions ⓘ large sieve inequality ⓘ sieve methods ⓘ |
How these facts were elicited
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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.
Subject: “Le Grand Crible dans la Théorie Analytique des Nombres” Description of subject: “Le Grand Crible dans la Théorie Analytique des Nombres” is a foundational monograph in analytic number theory that develops and applies the large sieve method to problems about the distribution of prime numbers and related arithmetic sequences.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.