Few days back I stumbled upon a video about Ramanujan [0] and the: 1 + 2 + 3 + 4 ..(to infinity) = -1/12.(Turns out the proof in the video is incorrect or at le

Few days back I stumbled upon a video about Ramanujan [0] and the: 1 + 2 + 3 + 4 ..(to infinity) = -1/12.(Turns out the proof in the video is incorrect or at least not concise enough, because you can't do that with divergent series). So that got me curious and I wanted to understand what's going on. How can 1 + 2 .. etc equal to -1/12 and not infinity. So I went on small binge watching videos to get an intuition and understanding about this. This led me to Riemann Hypothesis and Euler's identities and complex numbers etc. Now I have a list of books that I want to skim/read to get a historical context around these problems. I don't take any notes just yet, because I don't know what is important and what is not, I just jump into the stuff and hope that when I come out of the other end I will at least have a understanding why it equals -1/12. It's like panning out gold, there might be some gold nuggets. And maybe, just by pure chance, I come up with some ridiculous ideas how to disprove Riemann Hypothesis ;P (I think I have to revisit Gödel, Escher, Bach and Gödel's Incompletness Theorems to prove that it's not provable). - [0] https://www.youtube.com/watch?v=w-I6XTVZXww https://www.youtube.com/watch?v=w-I6XTVZXww EDIT: Sorry to all facepalming mathematicians who happen to read this comment.