Congruences for Jacobi Sums
โ Scribed by Ronald Evans
- Book ID
- 102602580
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 249 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
โฆ Synopsis
A congruence for Jacobi sums of order k over finite fields is proved, which generalizes a congruence of for prime k and Ihara (1986) for prime power k. Related congruences for Jacobi sums are also presented. The techniques are elementary and self-contained, in contrast with the deep methods of Iwasawa and Ihara.
๐ SIMILAR VOLUMES
Let q > 1 and m > 0 be relatively prime integers. We find an explicit period ฮฝ m (q) such that for any integers n > 0 and r we have whenever a is an integer with gcd(1 -(-a) m , q) = 1, or a โก -1 (mod q), or a โก 1 (mod q) and 2 | m, where n r m (a) = kโกr (mod m) n k a k . This is a further extensio