Vorlesungen über Zahlentheorie (with Dirichlet)
E634840
Vorlesungen über Zahlentheorie (with Dirichlet) is a foundational 19th-century textbook on number theory, based on lectures by Peter Gustav Lejeune Dirichlet and edited and expanded by Richard Dedekind.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Vorlesungen über Zahlentheorie (with Dirichlet) canonical | 1 |
Statements (37)
| Predicate | Object |
|---|---|
| instanceOf |
19th-century book
ⓘ
mathematics book ⓘ number theory textbook ⓘ |
| academicDiscipline | pure mathematics ⓘ |
| associatedWith |
Dirichlet L-functions
NERFINISHED
ⓘ
Dirichlet characters NERFINISHED ⓘ Dirichlet’s theorem on primes in arithmetic progressions NERFINISHED ⓘ |
| author | Peter Gustav Lejeune Dirichlet NERFINISHED ⓘ |
| basedOn | lectures by Peter Gustav Lejeune Dirichlet ⓘ |
| contributor |
Peter Gustav Lejeune Dirichlet
NERFINISHED
ⓘ
Richard Dedekind NERFINISHED ⓘ |
| countryOfOrigin | Germany ⓘ |
| editor | Richard Dedekind NERFINISHED ⓘ |
| editorAddedSectionsOn | ideal theory and algebraic number theory ⓘ |
| editorExpandedContent | Richard Dedekind NERFINISHED ⓘ |
| fieldOfStudy |
mathematics
ⓘ
number theory ⓘ |
| genre |
lecture notes
ⓘ
textbook ⓘ |
| hasEditorRole | Richard Dedekind NERFINISHED ⓘ |
| hasLecturerRole | Peter Gustav Lejeune Dirichlet NERFINISHED ⓘ |
| hasPart |
proof of Dirichlet’s theorem on arithmetic progressions
ⓘ
treatment of Dirichlet L-series ⓘ treatment of Dirichlet characters ⓘ treatment of arithmetic of integers ⓘ treatment of congruences ⓘ treatment of quadratic forms ⓘ |
| historicalSignificance | foundational work in modern number theory ⓘ |
| influenced |
development of algebraic number theory
ⓘ
later number theory textbooks ⓘ |
| language | German ⓘ |
| mainSubject | number theory ⓘ |
| notableFor |
historical importance in 19th-century number theory
ⓘ
rigorous treatment of analytic number theory topics ⓘ systematic presentation of Dirichlet’s methods ⓘ |
| timePeriod | 19th century ⓘ |
| titleLanguage | German ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.