  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.
