Essai sur la théorie des nombres
E695814
Essai sur la théorie des nombres is a foundational 18th-century treatise on number theory by Adrien-Marie Legendre that systematically developed many key results in the field.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Essai sur la théorie des nombres canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7861118 — 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: Essai sur la théorie des nombres Context triple: [Adrien-Marie Legendre, notableWork, Essai sur la théorie des nombres]
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A.
“Le Grand Crible dans la Théorie Analytique des Nombres”
“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.
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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.
Theorie der algebraischen Zahlen
"Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
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E.
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.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Essai sur la théorie des nombres Target entity description: Essai sur la théorie des nombres is a foundational 18th-century treatise on number theory by Adrien-Marie Legendre that systematically developed many key results in the field.
-
A.
“Le Grand Crible dans la Théorie Analytique des Nombres”
“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.
-
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.
Theorie der algebraischen Zahlen
"Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
-
E.
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.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
treatise ⓘ |
| author | Adrien-Marie Legendre NERFINISHED ⓘ |
| contributedTo | foundations of number theory ⓘ |
| countryOfOrigin | France ⓘ |
| field |
mathematics
ⓘ
number theory ⓘ |
| firstPublicationYear | 1798 ⓘ |
| genre |
non-fiction
ⓘ
scientific literature ⓘ |
| hasEdition |
second edition
ⓘ
third edition ⓘ |
| hasInfluenceOn |
analytic number theory
ⓘ
modern algebraic number theory ⓘ |
| hasPart |
book on Diophantine equations
ⓘ
book on divisibility and congruences ⓘ book on quadratic forms ⓘ |
| historicalPeriod | Enlightenment NERFINISHED ⓘ |
| influenced |
19th-century number theory
ⓘ
Carl Friedrich Gauss NERFINISHED ⓘ Ernst Eduard Kummer NERFINISHED ⓘ Peter Gustav Lejeune Dirichlet NERFINISHED ⓘ |
| introducedOrPopularized | Legendre symbol NERFINISHED ⓘ |
| libraryOfCongressSubject | Number theory ⓘ |
| notableFor |
early study of quadratic forms
ⓘ
results on quadratic reciprocity ⓘ systematic development of number theory ⓘ work on distribution of prime numbers ⓘ |
| originalLanguage | French ⓘ |
| publicationCentury | 18th century ⓘ |
| publisherLocation | Paris NERFINISHED ⓘ |
| relatedWork | Disquisitiones Arithmeticae NERFINISHED ⓘ |
| subject |
Diophantine equations
NERFINISHED
ⓘ
congruences ⓘ indeterminate analysis ⓘ prime numbers ⓘ quadratic forms ⓘ residue classes ⓘ |
| titleLanguage | French ⓘ |
| translatedTitle | Essay on the Theory of Numbers NERFINISHED ⓘ |
| usedNotation | Legendre symbol NERFINISHED ⓘ |
How these facts were elicited
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Subject: Essai sur la théorie des nombres Description of subject: Essai sur la théorie des nombres is a foundational 18th-century treatise on number theory by Adrien-Marie Legendre that systematically developed many key results in the field.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.