I understand how to calculate values of positive values ζ(s), it's pretty straightforward convergence. But when you expand s into the complex plane, like ζ(δ+bi), how do you assign a value with i as an exponent? Take for example(adsbygoogle = window.adsbygoogle || []).push({});

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....

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# Question about Riemann Zeta Function

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