Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
This seems interesting, but could you clarify? You have shown that C is of genus 1 (birationally, presumably f=0 is quite singular). And that C has a point of infinite order?
Interesting history point, but the result is implicit in the Peter-Weyl theorem? Whose application to compact topological groups was left implicit for a decade or so? I was once left pondering the remark of Dennis Sullivan that compact groups are the inverse limits of compact Lie groups, which is probably similarly folkloric.
By taking the lcm of the numbers up to M, then its logarithm, and then looking at the Prime Number Theorem in the form with the von Mangoldt function in it. I may have the calculation wrong.
