Let ℙq be the finite field with q elements and let A denote the . ring of polynomials in one variable with coefficients in ℙq. Let P be a monic polynomial irreducible in A. We obtain a bound for the least degree of a monic polynomial irreducible in A (q odd) which is a quadratic non-residue modulo P. We also find a bound for the least degree of a monic polynomial irreducible . in A which is a primitive root modulo P.
|頁（從 - 到）||647-652|
|期刊||Proceedings of the American Mathematical Society|
|出版狀態||已發佈 - 1998 十二月 1|
ASJC Scopus subject areas
- Applied Mathematics