Commit 2023-05-31 19:23 cca40788
View on Github →feat (number_theory/zeta_function): relate to Dirichlet series (#19131)
This PR adds two important properties of the Riemann zeta function: firstly, it is differentiable away from s = 1
(which is easy for s ≠ 0
, but much harder at s = 0
); secondly, for 1 < re s
the zeta function is given by the usual Dirichlet series.
Just for fun, we also add a formal statement of the Riemann hypothesis.