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

Riemann zeta functionpole question?

  1. Oct 20, 2011 #1
    The simple pole at on is due to that its value of course is not closed due to it is an infinite value.

    My question is: is this value of infinity, positive or negative. or both??
     
  2. jcsd
  3. Oct 25, 2011 #2
    positive. The RZF has a pole at s=1 because at s=1 it is equal to the harmonic series sum 1+1/2+1/3+1/4+1/5+...= infinity
     
  4. Oct 25, 2011 #3
    Thank you:

    So next question is,

    Since say at 1/2 the value of the zeta function is negative. and tends in the negative direction continuing closer you get to one (of course with the limit less than one):and the pole at one is positive, were along the real line is a missing zero????

    Positive value going to a negative value on a line due to a function and no cross over in value at zero ??????
     
    Last edited: Oct 25, 2011
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Riemann zeta functionpole question?
  1. Riemann zeta function (Replies: 1)

  2. Riemann Zeta zeros (Replies: 31)

Loading...