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Basic number theory

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Author(s): André Weil
Series: Grundlehren der mathematischen Wissenschaften; 144
Edition: 2
Publisher: Springer Science+Business Media
Year: 1995

Language: English
Pages: XVIII, 315

Front Matter....Pages II-XVIII
Locally compact fields....Pages 1-23
Lattices and duality over local fields....Pages 24-42
Places of A-fields....Pages 43-58
Adeles....Pages 59-79
Algebraic number-fields....Pages 80-95
The theorem of Riemann-Roch....Pages 96-101
Zeta-functions of A-fields....Pages 102-138
Traces and norms....Pages 139-161
Simple algebras....Pages 162-187
Simple algebras over local fields....Pages 188-201
Simple algebras over A-fields....Pages 202-212
Local classfield theory....Pages 213-243
Global classfield theory....Pages 244-291
Back Matter....Pages 292-315