RE: [PrimeNumbers] Euler's Zeta function equality and the Fall from Infinity
- '> It strains my brains that the sum could fall from infinite to finite
> with (I presume) an infinitely small increment of the n exponent.Infinitely or finitely?
Consider 1/e. As e->0 the expression has a value, at e=0 it is undefined.
This is basic continuity theory.
The behaviour of zeta(s) around s=1 is analysed at;