Applications of the Large Sieve Inequality for Fq[T]

Chih Nung Hsu

doi:10.1006/ffta.1998.0214

Applications of the Large Sieve Inequality for F_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

1 引文斯高帕斯（Scopus）

摘要

The purpose of this note is the following: (1) To get an upper bound for the number of monic irreducible polynomials in F_q[T] obtained by changing coefficients of a polynomial in lower degree terms. (2) To generalize the Titchmarsh Linnik divisor problem to polynomial ring F_q[T] and prove an asymptotic formula for this divisor function.

原文	英語
頁（從 - 到）	275-281
頁數	7
期刊	Finite Fields and their Applications
卷	4
發行號	3
DOIs	https://doi.org/10.1006/ffta.1998.0214
出版狀態	已發佈 - 1998 7月

ASJC Scopus subject areas

理論電腦科學
代數與數理論
一般工程
應用數學

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10.1006/ffta.1998.0214

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AB - The purpose of this note is the following: (1) To get an upper bound for the number of monic irreducible polynomials in Fq[T] obtained by changing coefficients of a polynomial in lower degree terms. (2) To generalize the Titchmarsh Linnik divisor problem to polynomial ring Fq[T] and prove an asymptotic formula for this divisor function.

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Applications of the Large Sieve Inequality for Fq[T]

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ASJC Scopus subject areas

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Applications of the Large Sieve Inequality for F_q[T]