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Riemann zeta functionpole question? 
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#1
Oct2011, 09:04 PM

P: 94

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
Oct2511, 04:29 PM

P: 150

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
Oct2511, 05:09 PM

P: 94

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 ?????? 


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