For the curious, much of this is covered in depth in a graduate analytic number theory first course. As fascinating as the Riemann Zeta Hypothesis is, I think

For the curious, much of this is covered in depth in a graduate analytic number theory first course. As fascinating as the Riemann Zeta Hypothesis is, I think something almost as fascinating is the works of Ramanujan - to this day, the genius Indian's work is studied in earnest, and amongst the most famous number theory work to this day.