to my knowledge (more bibliographic details shortly) none of the theta series below occur in the On-Line encyclopedia of integer sequences, and "complex hyperbolic lattices" and "lorenzian lattices" appear to be different beasties.

*Hyperbolic Lattice Point Problems*by Fernando Chamizo*Non-Euclidean visibility problems*by Fernando Chamizo*Hyperbolic lattice-point counting and modular symbols*by Yiannis N. Petridis and Morten S. Risager-
*An Exact Formula Relating Lattice Points in Symmetric Spaces to the Automorphic Spectrum*by Amy T. Decelles *Counting Lattice Points*by Alexander Gorodnik and Amos Nevo-
*Sphere Packings, Lattices and Groups*by John Horton Conway and Neil Sloane *The Hyperbolic Lattice Point Count in Infinite Volume with Applications to Sieves*by Alex V. Kontorovich-
*On the distribution of angles between geodesic rays associated with hyperbolic lattice points*by Florin P. Boca *On the Critical Line of Convex Cocompact Hyperbolic Surfaces*by Dimitry Jacobson and Fr\'{ed\'{erik Naud*Hyperbolic Geometry: Isometry Groups of Hyperbolic Space*by Ilyas Khan.

Bounty: I am offering a bottle of whisky to anyone who can successfully translate Jacob Lurie's Higher Topos Theory (and/or the stacks project) into the analytic combinatorical language of the manner of Flajolet's Analytic Combinatorics.