  Results are presented for some infinite series appearing in Feynman diagram
calculations, many of which are similar to the Euler series. These include both
one-, two- and three-dimensional series. The sums of these series can be
evaluated with the help of various integral representations for hypergeometric
functions, and expressed in terms of $\zeta(2)$, $\zeta(3)$, the Catalan
constant $G$ and ${\rm Cl}_2(\pi/3)$ where ${\rm Cl}_2(\theta)$ is Clausen's
function.
