Reciprocity laws for algebras over function fields
Matematičeskie zametki, Tome 17 (1975) no. 3, pp. 419-422
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A study is made of simple central algebras over an algebraic function field of one variable with a number field of constants. It is proved that there exists an algebra with a given collection of local invariants satisfying the reciprocity law under the assumption that the orders of the invariants are odd or the field of constants is purely imaginary.