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Power Residue Character of Jacobi Sums

โœ Scribed by C. Helou

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
267 KB
Volume
49
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

In two previous papers [Proc. Amer. Math. Soc. 117 (1993), 877-884], [J. Numher 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. 1994 Academic Press, Inc.

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