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ζ(1/2 + i)

This is the sequence

1/1^(1/2+i) + 1/2^(1/2+i) + 1/3^(1/2+i) .......

How do you assign a value to this? do you have to use euler's identity to calculate it? Or am I looking at it all wrong?

P. S. Try to dumb it down for me. I'm in algebra 2 right now....