New posts in Zeta Functions

Infinite Series $\sum_{n=1}^\infty\frac{H_n}{n^32^n}$

Simpler zeta zeros

Infinite Series $\sum_{n=1}^\infty\frac{H_n}{n^22^n}$

Evaluating the log gamma integral $\int_{0}^{z} \log \Gamma (x) \, \mathrm dx$ in terms of the Hurwitz zeta function

Riemann Zeta function - number of zeros

A Geometric Proof of $\zeta(2)=\frac{\pi^2}6$? (and other integer inputs for the Zeta)

Lerch-$\small \zeta(\varphi,0,-n)$ of integer *n* purely real and imaginary ($\small \zeta_\varphi (-n)^2 $ is real) for $\small n \ge 2$?

Does $\zeta(3)$ have a connection with $\pi$?

Is this closed-form summation a special case of known Lerch zeta function formulas?

Motivation for zeta function of an algebraic variety