Integrability of $\varphi(t)\cdot\Gamma_{\mathbb{R}}'/\Gamma_{\mathbb{R}}(\sigma+it)$ for quadratically decaying $\varphi$

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Integrability of $\varphi(t)\cdot\Gamma_{\mathbb{R}}'/\Gamma_{\mathbb{R}}(\sigma+it)$ for quadratically decaying $\varphi$ · Prove2Me