Abstract
Let E be a totally complex abelian number field with maximal real subfield F, and let \(\chi\) denote the non-trivial character of \(Gal (E/F)\). Similar to the classical case n=1 the value of the Artin L-function \(L(E/F,\chi,1-n)\) at \(1-n\) for odd \(n \geq 3\) is given by a relative class number formula of the form
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