Titlebook: Algebraic Number Theory; Serge Lang Textbook 1994Latest edition Springer Science+Business Media New York 1994 algebraic number theory.anal

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-Series AgainLet χ be a character of the idele classes .. (or equivalently, of ..,vanishing on .*),that is a continuous homomorphism.. χ .. Then the kernel .. of χ is a closed subgroup of finite index, which is therefore open, and has a class field denoted by ...

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Functional Equation, Tate’s ThesisThis chapter is essentially Tate’s thesis, which has also appeared (finally) in the Brighton conference volume.

Magnitude

adduction

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978-1-4612-6922-9Springer Science+Business Media New York 1994

嬉耍

Customary

https://doi.org/10.1007/978-3-030-73815-0 fractional ideals (which we say from now on, instead of non-zero ideals, unless otherwise specified), then we write a ~ b (a is equivalent to b) if there exists . ∈ .. such that a = (.)b, i.e. ab. is a principal fractional ideal. Then the equivalence classes of fractional ideals form a finite group

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