Abstract
In two previous papers [ Proc. Amer. Math. Soc. 117 (1993), 877- 884], [ J. Number Theory 44 (1993), 214-221], a reciprocity relation for the power residue symbol of odd prime exponent, between Jacobi sums, was conjectured then proved. This is here extended to the case of an arbitrary exponent, as a consequence of an expression for the power residue character of a Jacobi sum, modulo a rational prime power, in terms of Fermat quotients.
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