Basic Number Theory
E244837
Basic Number Theory is a foundational graduate-level text by André Weil that systematically develops algebraic number theory and related concepts with exceptional rigor and depth.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Basic Number Theory canonical | 2 |
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics textbook ⓘ |
| author | André Weil ⓘ |
| edition | first edition ⓘ |
| emphasizes |
adelic and idelic methods
ⓘ
structural approach over computational examples ⓘ |
| field |
algebraic number theory
ⓘ
number theory ⓘ |
| focusesOn | conceptual foundations of algebraic number theory ⓘ |
| hasReputation |
classical reference in algebraic number theory
ⓘ
difficult ⓘ |
| hasStructure | systematic development from local to global theory ⓘ |
| hasTopic |
Chebotarev density theorem
ⓘ
surface form:
Chebotarev density theorem (contextual)
Galois theory of global fields ⓘ Galois theory of local fields ⓘ Haar measure on local fields ⓘ L-functions ⓘ Poisson summation formula ⓘ Tate’s thesis framework ⓘ adeles ⓘ characters of local fields ⓘ class field theory ⓘ discriminants ⓘ global fields ⓘ ideles ⓘ local fields ⓘ norms in number fields ⓘ ramification theory ⓘ trace in number fields ⓘ valuation theory ⓘ valuations ⓘ zeta functions ⓘ |
| influenced | modern expositions of algebraic number theory ⓘ |
| language | English ⓘ |
| level | graduate ⓘ |
| partOf | 20th-century mathematical literature ⓘ |
| publicationYear | 1967 ⓘ |
| publisher | Springer ⓘ |
| series | Die Grundlehren der mathematischen Wissenschaften ⓘ |
| style |
abstract
ⓘ
rigorous ⓘ |
| targetAudience |
graduate students in mathematics
ⓘ
research mathematicians in number theory ⓘ |
| usedAs | graduate textbook in mathematics ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
André Weil