Power residue character of jacobi sums

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Abstract

In two previous papers [Proc. Amer. Math. Soc.117 (1993), 877- 884], [J. Number Theory44 (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.

Original languageEnglish (US)
Pages (from-to)107-117
Number of pages11
JournalJournal of Number Theory
Volume49
Issue number1
DOIs
Publication statusPublished - Oct 1994

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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