Selberg’s conjectures describe Dirichlet series with an analytic continuation, functional equation, Euler product and a Ramanujan hypothesis. The conjectures and some of their consequences are described in

*J. B. Conrey* and

*A. Ghosh* [Duke Math. J. 72, 673-693 (1993;

Zbl 0796.11037)]. Roughly speaking the conjectures can be viewed as an alternative to the Langlands programme, but with a more analytic flavour. The present paper strengthens this connection by showing that the Selberg conjectures imply Artin’s conjecture on the holomorphy of

$L$-functions attached to nontrivial irreducible representations of finite Galois extensions. Indeed it is shown that the Langlands reciprocity conjecture also follows, for those extensions

$K/k$ with

$K/\mathbb{Q}$ solvable.