Geodesic
A series of a discrete group and its application to the Dirichlet series associated with automorphic forms
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part II, Tome 63 (1976), pp. 3-7

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Starting from the Poincaré-Selberg series, another series is defined for a discrete group; the relationship is established between this series and the Dirichlet series for which the coefficients are products of the Fourier coefficients of the automorphic forms. 
@article{ZNSL_1976_63_a0,
     author = {A. B. Venkov},
     title = {A series of a discrete group and its application to the {Dirichlet} series associated with automorphic forms},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {3--7},
     publisher = {mathdoc},
     volume = {63},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_63_a0/}
}
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A. B. Venkov. A series of a discrete group and its application to the Dirichlet series associated with automorphic forms. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part II, Tome 63 (1976), pp. 3-7. http://geodesic.mathdoc.fr/item/ZNSL_1976_63_a0/