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].
ASJC Scopus subject areas
- Algebra and Number Theory