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On a Theorem of Bombieri, Friedlander, and Iwaniec

Published:2012-03-24
Printed: Oct 2012
• Daniel Fiorilli,
Département de mathématiques et de statistique, Université de Montréal, Montréal, QC H3C 3J7
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Abstract

In this article, we show to which extent one can improve a theorem of Bombieri, Friedlander and Iwaniec by using Hooley's variant of the divisor switching technique. We also give an application of the theorem in question, which is a Bombieri-Vinogradov type theorem for the Tichmarsh divisor problem in arithmetic progressions.
 Keywords: primes in arithmetic progressions, Titchmarsh divisor problem