Author | Weil, Andrรฉ. author |
---|---|
Title | Basic Number Theory [electronic resource] / by Andrรฉ Weil |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1973 |
Edition | Third Edition |
Connect to | http://dx.doi.org/10.1007/978-3-642-61945-8 |
Descript | XVIII, 316 p. online resource |
I. Elementary Theory -- I. Locally compact fields -- II. Lattices and duality over local fields -- III. Places of A-fields -- IV. Adeles -- V. Algebraic number-fields -- VI. The theorem of Riemann-Roch -- VII. Zeta-functions of A-fields -- VIII. Traces and norms -- II. Classfield Theory -- IX. Simple algebras -- X. Simple algebras over local fields -- XI. Simple algebras over A-fields -- XII. Local classfield theory -- XIII. Global classfield theory -- Notes to the text -- Appendix I. The transfer theorem -- Appendix III. Shafarevitchโs theorem -- Appendix IV. The Herbrand distribution -- Index of definitions