Thanks! (Was: The Reimann "Zeta" function: How can it ever converge?)

In article <vrv5ci$3rj4$1@dont-email.me>, efji  <efji@efi.efji> wrote:
...

I think it is far beyond the scope of this group, but let's try :

Interesting. I didn't think this group would shy away from this.  Seemed
right up your alley, if nothing else.

The Riemann zeta function (please, Riemann and not Reimann...) is
defined as the following series for any complex s such that Re(s) > 1:
Z(s) = 1/(1**s) + 1/(2**s) + 1/(3**s) + ..

Got it.  Thanks.  The point is that the series expansion only works for
Re(s) > 1.  One has to use one of the more complicated expressions for
other input values.  Note: This is there in Wikipedia; I must have glossed
over it.

Again, thanks for your long and very helpful explanation.

P.S. (to the other responder on this thread).  ** means exponentiation in
many (but not all) computer languages (*).  Maybe I should have written
pow(...) instead, but the point is that there is no clear-cut, 7 bit ASCII
representation for superscripting notation on Usenet.  I did the best I
could.

(*) Some other languages use ^, but in most/all C-like languages, that
means bitwise XOR.

--
He must be a Muslim. He's got three wives and he doesn't drink.