New posts in Riemann Zeta

Prime Zeta function at 1

Conjecture $\sum_{n=0}^\infty a_n= \frac{1}{2}-\frac{7 \zeta(3)}{2 \pi^2}$

Integral $\int_{-\infty}^{\infty} \arctan(e^x) \arctan(e^{-x})dx=\frac{7}{4}\zeta(3)$

Integral $\int_{-\infty}^{\infty}\ln(2-2\cos(x^2))dx=-\sqrt{2\pi}\zeta(3/2)$

Evaluating $\int\limits_0^\infty \mathcal{e}^{-x}\ln^{2}x\,dx$

The use of limit in Titchmarsh's book "The theory of the Riemann zeta-function" in Theorem $3.13$

Fixed point of Riemann Zeta function

Evaluate$\int\limits_0^1 [\log(x)\log(1-x)+\operatorname{Li}_2(x)]\left[\frac{\operatorname{Li}_2(x)}{x(1-x)}-\frac{\zeta(2)}{1-x}\right]\mathrm dx$

A nice relationship between $\zeta$, $\pi$ and $e$

Show that $\int_0^1 4 \space\operatorname{li}(x)^3 \space (x-1) \space x^{-3} dx = \zeta(3) $