CONGRUENCES FOR JACOBI SUMS

Authors
EVANS R
Citation
R. Evans, CONGRUENCES FOR JACOBI SUMS, Journal of number theory (Print), 71(1), 1998, pp. 109-120
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of number theory (Print) → ACNP
ISSN journal
0022314X
Volume
71
Issue
1
Year of publication
1998
Pages
109 - 120
Database
ISI
SICI code
0022-314X(1998)71:1<109:>2.0.ZU;2-J
Abstract
A congruence for Jacobi sums of order k over finite fields is proved, which generalizes a congruence of Iwasawa (1975) for prime k and Ihara (1986) for prime power k. Related congruences for Jacobi sums are als o presented. The techniques are elementary and self-contained, in cont rast with the deep methods of Iwasawa and Ihara. (C) 1998 Academic Pre ss.