Abstract
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.
Original language | English |
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Pages (from-to) | 647-652 |
Number of pages | 6 |
Journal | Proceedings of the American Mathematical Society |
Volume | 126 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1998 |
Keywords
- Primitive roots
- Quadratic non-residues
- Riemann Hypothesis
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics