Symmetry in Partial Sums of $n^{-s}$ — mentioned by amirhirsch

Tue, 04 Jun 2024 17:11:41 GMT

I made this visualization of the zeta function in javascript, it is infinitely zoomable, and you can play around with parameters: https://amirhirsch.com/zeta/index.html It might help you understand why the hypothesis is probably true. It renders the partial sums and traces the path of zeta. In my rendering, I include all partial sums up to an automatically computed "N-critical" which is when the phase difference between two summands is less than pi (nyquist limit!), after which the behavior of the partial sums is monotonic. The clusters are like alias modes that go back and forth when the…

Paper and discussion history. A mention is not an endorsement.

Symmetry in Partial Sums of $n^{-s}$ · HackerPapers discussions

Symmetry in Partial Sums of $n^{-s}$ — mentioned by amirhirsch