On a theorem of Bombieri, Friedlander and Iwaniec

TL;DR

This paper enhances a theorem by Bombieri, Friedlander, and Iwaniec using Hooley's divisor switching, and applies it to establish a Bombieri-Vinogradov type result for the Tichmarsh divisor problem in arithmetic progressions.

Contribution

It improves the existing theorem with a novel technique and extends its application to a new problem in number theory.

Findings

Enhanced theorem with better bounds or conditions

Established a Bombieri-Vinogradov type theorem for the Tichmarsh divisor problem

Demonstrated the effectiveness of Hooley's divisor switching in this context

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.