Liber Quartus
E631881
Liber Quartus is the fourth book of Carl Friedrich Gauss’s *Disquisitiones Arithmeticae*, focusing on the theory of quadratic forms and related foundational topics in number theory.
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
book section
ⓘ
mathematics book ⓘ |
| author | Carl Friedrich Gauss NERFINISHED ⓘ |
| contributesTo |
foundations of algebraic number theory
ⓘ
theory of binary quadratic forms ⓘ |
| field | number theory ⓘ |
| focusesOn |
binary quadratic forms
ⓘ
class number of quadratic forms ⓘ classes of quadratic forms ⓘ classification of quadratic forms ⓘ composition of quadratic forms ⓘ discriminant of quadratic forms ⓘ equivalence of quadratic forms ⓘ genus of quadratic forms ⓘ integral quadratic forms ⓘ quadratic forms ⓘ reduction of quadratic forms ⓘ representation of integers by quadratic forms ⓘ |
| follows | Liber Tertius NERFINISHED ⓘ |
| hasKeyConcept |
class group of binary quadratic forms
ⓘ
composition law for forms ⓘ discriminant invariance ⓘ improper equivalence of forms ⓘ proper equivalence of forms ⓘ reduced form ⓘ |
| hasKeyResult |
conditions for representation of integers by forms
ⓘ
finiteness of class number for given discriminant ⓘ law of composition of classes of forms ⓘ structure of classes of forms with given discriminant ⓘ |
| hasModernTranslations |
English
ⓘ
French ⓘ German ⓘ |
| hasOrderInWork | 4 ⓘ |
| hasOriginalLanguage | Latin ⓘ |
| historicalRole |
early systematic treatment of binary quadratic forms
ⓘ
foundational text on quadratic forms ⓘ |
| influenced |
19th-century number theory
ⓘ
development of class field theory ⓘ work of Dedekind on ideals ⓘ work of Dirichlet on quadratic forms ⓘ |
| isContainedIn | original 1801 edition of Disquisitiones Arithmeticae ⓘ |
| language | Latin ⓘ |
| originalTitleOfWork | Disquisitiones Arithmeticae NERFINISHED ⓘ |
| partOf | Disquisitiones Arithmeticae NERFINISHED ⓘ |
| partOfWorkBy | Carl Friedrich Gauss NERFINISHED ⓘ |
| precedes | Liber Quintus NERFINISHED ⓘ |
| publicationYear | 1801 ⓘ |
| publishedIn | Brunswick NERFINISHED ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.