A Large Sieve Inequality for rational function fields

Chih Nung Hsu

doi:10.1006/jnth.1996.0077

A Large Sieve Inequality for rational function fields

Chih Nung Hsu^*

^*Corresponding author for this work

Department of Mathematics

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

21 Citations (Scopus)

Abstract

The purpose of this article is to establish an analogue of the Davenport-Halberstam Theorem and a Large Sieve Inequality for rational function fields F_q(t). We then applied our inequality to deduce an analogue of the Brun-Titchmarsch Theorem. We also obtain density zero result on the twin irreducible problem for F_q[t].

Original language	English
Pages (from-to)	267-287
Number of pages	21
Journal	Journal of Number Theory
Volume	58
Issue number	2
DOIs	https://doi.org/10.1006/jnth.1996.0077
Publication status	Published - 1996 Jun

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jnth.1996.0077

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abstract = "The purpose of this article is to establish an analogue of the Davenport-Halberstam Theorem and a Large Sieve Inequality for rational function fields Fq(t). We then applied our inequality to deduce an analogue of the Brun-Titchmarsch Theorem. We also obtain density zero result on the twin irreducible problem for Fq[t].",

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AB - The purpose of this article is to establish an analogue of the Davenport-Halberstam Theorem and a Large Sieve Inequality for rational function fields Fq(t). We then applied our inequality to deduce an analogue of the Brun-Titchmarsch Theorem. We also obtain density zero result on the twin irreducible problem for Fq[t].

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JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 2

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A Large Sieve Inequality for rational function fields

Abstract

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