  We prove explicit formulae for $\alpha$-points of $L$-functions from the
Selberg class. Next we extend a theorem of Littlewood on the vertical
distribution of zeros of the Riemann zeta-function $\zeta(s)$ to the case of
$\alpha$-points of the aforementioned $L$-functions. This result implies the
uniform distribution of subsequences of $\alpha$-points and from this a
discrete universality theorem in the spirit of Voronin is derived.
