A Look at Chowla's Problem

Abstract

In this paper we look at the history behind Chowla's problem on the solutions to $L(1,f)=0$ for periodic $f$. We focus on the results given by Baker, Birch and Wirsing on the topic. We briefly discuss recent results due to Chatterjee, Murty and Pathak which give a full solution when combined with the work of Baker, Birch and Wirsing.

Exposition