On a theorem of Bredihin and Linnik

TL;DR

This paper presents a new proof of Bredihin's theorem, originally proved using Linnik's dispersion method, by providing an alternative approach that simplifies or clarifies the original result.

Contribution

The paper introduces a novel proof technique for Bredihin's theorem, offering insights that may simplify understanding or further applications.

Findings

New proof of Bredihin's theorem

Alternative approach to Linnik's dispersion method

Potential simplification of Hardy-Littlewood problem

Abstract

We give a new proof of a theorem of B.M. Bredihin which was originally proved by extending Linnik's solution, via his dispersion method, of a problem of Hardy and Littlewood.