A Large Sieve Inequality for rational function fields

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14 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 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].

Original languageEnglish
Pages (from-to)267-287
Number of pages21
JournalJournal of Number Theory
Volume58
Issue number2
DOIs
Publication statusPublished - 1996 Jun

ASJC Scopus subject areas

  • Algebra and Number Theory

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