On certain character sums over ℙq,[T]

Chih Nung Hsu

doi:10.1090/s0002-9939-98-04582-1

On certain character sums over ℙ_q,[T]

Chih Nung Hsu^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Let ℙ_q be the finite field with q elements and let A denote the . ring of polynomials in one variable with coefficients in ℙ_q. 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
Pages (from-to)	647-652
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	126
Issue number	3
DOIs	https://doi.org/10.1090/s0002-9939-98-04582-1
Publication status	Published - 1998

Keywords

Primitive roots
Quadratic non-residues
Riemann Hypothesis

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/s0002-9939-98-04582-1

Cite this

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KW - Primitive roots

KW - Quadratic non-residues

KW - Riemann Hypothesis

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