The truncated Perron integral $\frac{1}{2\pi i}\int_{\sigma-iT}^{\sigma+iT}G(s)\,x^{s}\,\frac{ds}{s}$

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The truncated Perron integral $\frac{1}{2\pi i}\int_{\sigma-iT}^{\sigma+iT}G(s)\,x^{s}\,\frac{ds}{s}$ · Prove2Me