2 ms·
You need analytic continuation to define the zeta function at the places you are asking for zeros.
by wbl 9mo ago
You need analytic continuation to define the zeta function at the places you are asking for zeros.
- Y_Y 9mo agoThat's a good point. I do remember doing problems related to extending formulae outside the radius of convergence in my final year before university, but I don't think it's fair to ask for proper complex analysis from 17-year-olds. As penance I did go an have a look for suitable numerical techniques for calculating zeta with Re(s)<1 and there are some, e.g. https://people.maths.bris.ac.uk/~fo19175/talks/slides/PGS_talk_2020.pdf https://people.maths.bris.ac.uk/~fo19175/talks/slides/PGS_ta...