POWER RESIDUE CHARACTER OF JACOBI SUMS

[摘要] 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. (C) 1994 Academic Press, Inc.

[发布日期] 1994-10-01