On a Theorem of Bombieri, Friedlander, and Iwaniec

In this article, we show to what extent one can improve a theorem of Rombieri, 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.