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A Large Sieve Inequality for Rational Function Fields

✍ Scribed by Chih-Nung Hsu

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 937 KB
Volume: 58
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1996.0077

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✦ Synopsis

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

1996 Academic Press, Inc.

?(N; a, b)= q N ,(a) } N +O(q NÂ2 ). This is weaker than our Brun Titchmarsh Theorem if N>deg a>NÂ2.

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