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Quadratic Gauss Sums

✍ Scribed by Oumar D. Mbodj

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 319 KB
Volume: 4
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.1998.0218

No coin nor oath required. For personal study only.

✦ Synopsis

Let p be a prime integer and m be an integer, not divisible by p. Let K be the splitting field of XK!1 over the prime field % N . Solving the Gauss sums problem of order m in characteristic p means determining Gauss sums of all multiplicative characters of K of order dividing m. Our aim is to solve this problem when the subgroup 1p2 is of index 2 in (9/m9)*.

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