Corollary 3.5 . [0234]

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Corollary 3.5.

The function $\mathfrak{w}(s)$ is a power series in $(s-1)^{n/(n-1)}$ near $s=1$ . To leading orders

\mathfrak{w}=w_{0}+\frac{n-1}{n}w_{0}^{-\frac{3}{n-1}}(s-1)^{\frac{n}{n-1}}+O((s-1)^{\frac{2n}{n-1}}).

(19)