On certain character sums over

Author:
Chih-Nung Hsu

Journal:
Proc. Amer. Math. Soc. **126** (1998), 647-652

MSC (1991):
Primary 11A07; Secondary 11L40, 11N05

MathSciNet review:
1469411

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be the finite field with elements and let denote the ring of polynomials in one variable with coefficients in . Let be a monic polynomial irreducible in . We obtain a bound for the least degree of a monic polynomial irreducible in ( odd) which is a quadratic non-residue modulo . We also find a bound for the least degree of a monic polynomial irreducible in which is a primitive root modulo .

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Additional Information

**Chih-Nung Hsu**

Affiliation:
Department of Mathematics, National Taiwan Normal University, 88 Sec. 4 Ting-Chou Road, Taipei, Taiwan

Email:
maco@math.ntnu.edu.tw

DOI:
https://doi.org/10.1090/S0002-9939-98-04582-1

Keywords:
Riemann Hypothesis,
quadratic non-residues,
primitive roots

Received by editor(s):
August 20, 1996

Communicated by:
Dennis A. Hejhal

Article copyright:
© Copyright 1998
American Mathematical Society