TY - JOUR
T1 - Power residue character of jacobi sums
AU - Helou, Charles
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1994/10
Y1 - 1994/10
N2 - 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.
AB - 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.
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U2 - 10.1006/jnth.1994.1085
DO - 10.1006/jnth.1994.1085
M3 - Article
AN - SCOPUS:43949154245
VL - 49
SP - 107
EP - 117
JO - Journal of Number Theory
JF - Journal of Number Theory
SN - 0022-314X
IS - 1
ER -