[math-fun] please let this not be pi

14 Sep 2018


      what is the limit of the sum of derivatives of the zeta function taken at all its zero’s?
Shouldn’t it be a real number because of symmetry?

for the first 1000 zero’s I get   2.86778 -0.00254555 i
for the next  1001-2000 it’s      3.43164 +0.00472815 i
for           2001-3000           3.64089 -0.00544207 i
for           3001-4000           3.80755 -0.00334517 i

and so the running average up to n goes like

n=1000 : 2.86778 -0.00254555 i
  2000 : 3.14971 +0.0010913 i
  3000 : 3.31343 -0.00108649 i
  4000 : 3.43696 -0.00165116 i

no sweet convergence sofar

just curious,
Wouter

[math-fun] please let this *not* be pi

Wouter Meeussen

[math-fun] please let this not be pi