Disquisitiones Arithmeticae

E29358
book mathematical treatise non-fiction book number theory work

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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All labels observed (12)

Label Occurrences
Disquisitiones Arithmeticae canonical 10
Book V (Disquisitiones Arithmeticae) 3
Book III (Disquisitiones Arithmeticae) 2

Statements (47)

Predicate Object
instanceOf book ⓘ
mathematical treatise ⓘ
non-fiction book ⓘ
number theory work ⓘ
author Carl Friedrich Gauss ⓘ
countryOfOrigin Holy Roman Empire ⓘ
describedAs foundational treatise on number theory ⓘ
discusses Diophantine equations ⓘ
composition of forms ⓘ
cyclotomic equations ⓘ
prime numbers ⓘ
quadratic non-residues ⓘ
quadratic residues ⓘ
representation of numbers by quadratic forms ⓘ
field mathematics ⓘ
genre scientific literature ⓘ
hasInfluencedPerson André Weil ⓘ
David Hilbert ⓘ
Ernst Eduard Kummer ⓘ
surface form: Ernst Kummer

Leopold Kronecker ⓘ
Richard Dedekind ⓘ
hasLatinTitle Disquisitiones Arithmeticae self-link ⓘ
hasPart Book I ⓘ
Book II ⓘ
Book III ⓘ
Book IV ⓘ
Book V ⓘ
Book VI ⓘ
influenced 19th-century mathematics ⓘ
algebraic number theory ⓘ
modern number theory ⓘ
introducedConcept Legendre symbol notation refinement ⓘ
congruence modulo n ⓘ
mainSubject number theory ⓘ
notableFor classification of quadratic forms ⓘ
development of quadratic reciprocity ⓘ
introduction of congruence notation ⓘ
systematic development of number theory ⓘ
theory of binary quadratic forms ⓘ
work on cyclotomic fields ⓘ
originalLanguage Latin ⓘ
publicationCentury 19th century ⓘ
publicationYear 1801 ⓘ
titleLanguage Latin ⓘ
translatedInto English ⓘ
French ⓘ
German ⓘ

Referenced by (27)

Full triples — surface form annotated when it differs from this entity's canonical label.

Carl Friedrich Gauss → notableWork → Disquisitiones Arithmeticae ⓘ
Disquisitiones Arithmeticae → hasLatinTitle → Disquisitiones Arithmeticae self-link ⓘ
construction of the regular 17-gon with straightedge and compass → isDescribedIn → Disquisitiones Arithmeticae ⓘ
this entity surface form: Gauss's Disquisitiones Arithmeticae
Gauss’s lemma in number theory → appearsIn → Disquisitiones Arithmeticae ⓘ
subject surface form: Gauss’s lemma (number theory)
this entity surface form: Gauss’s Disquisitiones Arithmeticae
Book I → partOf → Disquisitiones Arithmeticae ⓘ
subject surface form: Book I (Disquisitiones Arithmeticae)
Book I → relatedWork → Disquisitiones Arithmeticae ⓘ
subject surface form: Book I (Disquisitiones Arithmeticae)
this entity surface form: Book II (Disquisitiones Arithmeticae)
Book I → relatedWork → Disquisitiones Arithmeticae ⓘ
subject surface form: Book I (Disquisitiones Arithmeticae)
this entity surface form: Book III (Disquisitiones Arithmeticae)
Book I → relatedWork → Disquisitiones Arithmeticae ⓘ
subject surface form: Book I (Disquisitiones Arithmeticae)
this entity surface form: Book IV (Disquisitiones Arithmeticae)
Book I → relatedWork → Disquisitiones Arithmeticae ⓘ
subject surface form: Book I (Disquisitiones Arithmeticae)
this entity surface form: Book V (Disquisitiones Arithmeticae)
Book I → relatedWork → Disquisitiones Arithmeticae ⓘ
subject surface form: Book I (Disquisitiones Arithmeticae)
this entity surface form: Book VI (Disquisitiones Arithmeticae)
Book I → relatedWork → Disquisitiones Arithmeticae ⓘ
subject surface form: Book I (Disquisitiones Arithmeticae)
this entity surface form: Book VII (Disquisitiones Arithmeticae)
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subject surface form: Book III (Disquisitiones Arithmeticae)
Book III → isComponentOf → Disquisitiones Arithmeticae ⓘ
subject surface form: Book III (Disquisitiones Arithmeticae)
this entity surface form: Gauss’s Disquisitiones Arithmeticae
Gaussian periods → appearsIn → Disquisitiones Arithmeticae ⓘ
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subject surface form: Book IV (Disquisitiones Arithmeticae)
this entity surface form: Book III (Disquisitiones Arithmeticae)
Book IV → isFollowedBy → Disquisitiones Arithmeticae ⓘ
subject surface form: Book IV (Disquisitiones Arithmeticae)
this entity surface form: Book V (Disquisitiones Arithmeticae)
Book IV → originalTitle → Disquisitiones Arithmeticae ⓘ
subject surface form: Book IV (Disquisitiones Arithmeticae)
this entity surface form: Disquisitiones Arithmeticae, Liber Quartus
Book V → partOf → Disquisitiones Arithmeticae ⓘ
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subject surface form: Book V (Disquisitiones Arithmeticae)
this entity surface form: Book VI (Disquisitiones Arithmeticae)
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subject surface form: Book V (Disquisitiones Arithmeticae)
this entity surface form: Book IV (Disquisitiones Arithmeticae)
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subject surface form: Book VI (Disquisitiones Arithmeticae)
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subject surface form: Book VI (Disquisitiones Arithmeticae)
this entity surface form: Disquisitiones Arithmeticae Book I–VI
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subject surface form: Book VI (Disquisitiones Arithmeticae)
this entity surface form: Book V (Disquisitiones Arithmeticae)
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subject surface form: Book VI (Disquisitiones Arithmeticae)
Book VI → hasEnglishTranslation → Disquisitiones Arithmeticae ⓘ
subject surface form: Book VI (Disquisitiones Arithmeticae)
this entity surface form: Disquisitiones Arithmeticae (English translation)
quadratic reciprocity law → publishedIn → Disquisitiones Arithmeticae ⓘ