I have noticed that
$\displaystyle\lim_{n \to \infty} \Re\left[\zeta\left(1 + \frac{i}{n}\right)\right] = \gamma$
How can this be proven?
2026-03-25 06:12:46.1774419166
How to prove that Re(zeta(1+i/n)) is equal to the euler constant as n -> infinity
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