So for example; $ζ(1)$ will diverge and $ζ(1.1)$ will diverge. So I want to find the value of $η$ such that the zeta function will diverge if we take a value less than it and converge if we take that value or above it. From my observation $η\approx1.3$. Has the complete value of this been found out?
2026-03-25 23:37:46.1774481866
What will be the value of $η$ such that for $m<η$, the zeta function ζ(m) will diverge?
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$\zeta(s)$ converges for all $s>1$.