# automorphic form associated with Apollonian Gasket

In /Indra's Pearls/, it's mentioned one can associate automorphic forms with limit sets. Is there an explicit description of the one associated with the Apollonian gasket (up to some appropriate discrete subgroup of $$SL(2,\mathbb{R})$$).

the Poincaré series or an infinite product would suit my purposes

• a bit pessimistic from Elena Fuchs: math.ucdavis.edu/~efuchs/FuchsStrongApprox.pdf – Will Jagy May 1 '19 at 1:54
• I get it: her dissertation was 2010, her Bulletin article was April 2013. Kontorovich article on thin orbits in the same issue. – Will Jagy May 1 '19 at 1:57