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1. Introduction. The notion of two number fields K and L having equivalent Hilbert-symbol reciprocity laws was introduced in [PSCL] for the purpose of studying isomorphisms between the Witt rings W (K) and W (L). In that paper, the name reciprocity equivalence was used; however, in view of recent developments in which equivalences between higher-order reciprocity laws are discussed (see [CzSł]), these earlier equivalences are now more properly referred to as Hilbert-symbol equivalences. Here isdoi:10.4064/aa-79-1-83-91 fatcat:o6oe3vspqfhlzesdu73dxepfnu