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Q: About the roots of Riemann zeta function

SangyoungI discovered the modified Riemann zeta function while writing an article about 'general relativistic quantum mechanics'. $\zeta(s)=\int_{0}^{1}x^{s}b_0(x)dx, b_0(x)=(\frac{1/x-1}{e^{p(1/x-1)}-1})'$, $p$ is constant. I know the other form of $\Gamma(s)\zeta(s)=\int_{0}^{\infty}\frac{x^{s-1}}{e^x-1...

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