Non-Archimedean Poincaré series and geodesics on the Bruhat-Tits tree

Milan Berger-Guesneau, Mihran Papikian

Adapting a construction of Kurihara in the setting of Drinfeld modular forms, we define Poincaré series on the Drinfeld half-plane $\Omega$. These series are built from products of mero…