# Values of Riemann zeta at rational non-integer points

I would like to know do we have closed-form of Riemann zeta at at least one rational non-integer point such that that closed form contains already known constants and is not an infinite sum?

• I'd say no, see particular values of polylogarithm (at $z= \pm 1$) – reuns Sep 23 '17 at 7:23

$\zeta(x)=\displaystyle\sum_{n=1}^{\infty}\frac{1}{n^x} \rightarrow H(x)=\frac{\alpha x+\beta}{\lambda x-x_0}+y_0$