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Published online by Cambridge University Press: 22 January 2016
Let M be any number field. We let D M, d M, hu ,
, AM and RegM be the discriminant, the absolute value of the discriminant, the class-number, the Dedekind zeta-function, the ring of algebraic integers and the regulator of M, respectively.
we set
If q is any odd prime we let (⋅/q) denote the Legendre’s symbol.