I am reading about zeta function from book by Ingham. In that book the following theorem is given. I am unable to understand what does he mean by finite part of plane in the statement.
2026-04-06 10:16:21.1775470581
Analytic continuation of Riemann Zeta function.
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By finite part of the plane he probably means the complex plane itself. The infinite part is probably the point of infinity of the Riemann sphere, where the zeta function has an essential singularity.