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Last update: JUDr. Dana Macharová (09.12.2010)
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Last update: JUDr. Dana Macharová (09.12.2010)
[1] J. S. Milne: Algebraic Number Theory [2] S. Lang: Algebraic Number Theory, Second Edition, Springer 1994. [3] J. S. Milne: Class Field Theory [4] K. Buzzard: L-functions [5] R. Kučera: Teorie čísel [6] G. J. Janusz: Algebraic Number Fields, Second Edn, Amer. Math. Soc., 1996
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Last update: JUDr. Dana Macharová (09.12.2010)
1. Number fields, prime ideals and their behaviour in field extensions, norm, trace, and discriminant. 2. Valuations, completions, p-adic numbers. 3. Ramification and inertia groups, Frobenius element. 4. Adeles and ideles. 5. Zeta functions, L-functions, and Dirichlet's theorem on arithmetic progression.. 6. Artin's symbol, class fields, reciprocity, abelian extensions of number fields, Kronecker-Weber theorem. |