On some complex explicit formulæ connected with Dirichlet coefficients of inverses of special type L-functions from the Selberg class

Abstract

We obtain, by means of the technique introduced in by J. Kaczorowski, a meromorphic continuation and the functional equation for the function $m(F, \cdot)$, where $F$ is from the Selberg class with a functional equation expressible with exactly one $\Gamma$ function.