New posts in Zeta Functions

How to evaluate $\sum_{n=1}^{\infty}\frac{\zeta (2n)-1}{n+1}$ directly?

Conjectural closed-form of $\int_0^1 \frac{\log^n (1-x) \log^{n-1} (1+x)}{1+x} dx$

Zeta-function of $x_0^3 + x_1^3 + x_2^3 = 0$ over $\mathbb{F}_4$.

Asymptotic expansion of $Li^{-1}$ and zeros of $F(s)$ and $G(s)$

Is it true that $\int_0^1 \big(K(k^{1/2})\big)^2\,dk = \frac{7}2\zeta(3)$?

Fixed point of Riemann Zeta function

What's the series of $\sum_{n\geqslant1} \dfrac{\zeta(2n)}{n2^{2n}}$.

What is the closed-form for $\displaystyle\sum_{m,n = - \infty}^{\infty} \frac{(-1)^m}{m^2 + mn+41n^2}$?

Riemann Zeta Function's Analytic Continuation

How does a mathematician create a new zeta function?