## On general $$L$$-functions.(English)Zbl 0809.11046

From the introduction: “The aim of the present paper is to develop in a unified way some analytic results for a rather general class of $$L$$- functions. This class is defined axiomatically and the axioms are modelled on the basic properties of the zeta and $$L$$-functions associated with algebraic number fields and automorphic forms which appear in number theory. We concentrate our investigations mainly on problems connected with the zero-free regions and real zeros.”
This long paper contains several nice results, and many technicalities; therefore the reviewer prefers not to try to give a survey of results but only to state some keywords like functional equations, Rankin-Selberg type convolution, Aramata-Brauer theorem, Siegel-Brauer theorem.

### MSC:

 11M41 Other Dirichlet series and zeta functions 11R42 Zeta functions and $$L$$-functions of number fields 11F66 Langlands $$L$$-functions; one variable Dirichlet series and functional equations
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