# Riemann zeta functionpole question?

1. Oct 20, 2011

### lostcauses10x

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. Oct 25, 2011

### camilus

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

3. Oct 25, 2011

### lostcauses10x

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