Talk:Convergence of P-Series

Should this result be merged with Sum of Infinite Geometric Progression? Also, is it worth specifying the domain of the series (i.e. presumably the complex numbers)? Also, what category would you put it in - Complex Analysis? --Matt Westwood 22:14, 23 April 2009 (UTC)

I would NOT merge it with sum of infinite geometric progression. That index of the summation in that case is found in the exponent, and in this is found in the base. As for the category, I would say Series and maybe Complex Analysis. We also might want to make Category:Convergence --Cynic (talk) 22:21, 23 April 2009 (UTC)

Agh, no you're right. Mind, I'm sure we've done this one before. Lemme go and think about it ... --Matt Westwood 22:26, 23 April 2009 (UTC)


 * This is particuarly related to the Zeta function, and so it's definitely complex analysis, especially since it pertains to the right half-plane $$\Re(z)>1 \ $$. Also, this is not a geometric progression, nor do we say anything about what the series actually converges TO, merely that it does.  Zelmerszoetrop 22:29, 23 April 2009 (UTC)

Just that I'm sure there's a result out there somewhere that does this in the real domain. Unless I dreamed it. ;-) No worries. --Matt Westwood 05:23, 24 April 2009 (UTC)