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^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

4 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	647-652
頁數	6
期刊	Proceedings of the American Mathematical Society
卷	126
發行號	3
DOIs	https://doi.org/10.1090/s0002-9939-98-04582-1
出版狀態	已發佈 - 1998

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10.1090/s0002-9939-98-04582-1

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AB - 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.

KW - Primitive roots

KW - Quadratic non-residues

KW - Riemann Hypothesis

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On certain character sums over ℙq,[T]

摘要

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On certain character sums over ℙ_q,[T]