I still don't understand a few things.(adsbygoogle = window.adsbygoogle || []).push({});

Let's say we had a non-trivial zero counting function, [tex]Z_n(n)[/tex], for the riemann zeta function. Couldn't we fairly easily prove the riemann hypothesis by evaluating [tex]\zeta (\sigma+iZ_n)[/tex], solving for [tex] \sigma [/tex], then proving it for all n using induction?

On another note, I still need help in evaluating the actual function. Can someone show me, step by step, how to evaluate say, [tex]\zeta (1/2 + 5i)[/tex]? Please be specific

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# More on riemann zeta function

**Physics Forums | Science Articles, Homework Help, Discussion**