Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Is this proof of riemann hypothesis?

  1. Feb 13, 2009 #1
    If

    [tex]\lim_{\sigma \rightarrow c} \frac{d^2 \zeta}{dt^2} = L_t[/tex]

    and 0<c≠.5<1, then L is an ever increasing function of t, with initial conditions bounding that of any c, 0<c<1. Because L is ever increasing, bounding all c at zero, it can be said that regardless of t, ζ will never equal zero for any s = σ + it.



    If

    [tex]\lim_{\sigma \rightarrow c} \frac{d^2 \zeta}{dt^2} = L[/tex]

    and c=.5, then L is a constant function independent of the variable t, and because L is constant and not ever increasing, it leaves the opportunity open for ζ(s)=0 for some s.


    (I of course would have to prove the two limits)
     
    Last edited: Feb 13, 2009
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted