Poincaré series and modular functions for U(n, 1)
We construct infinitely many nonholomorphic automorphic forms and modular forms associated to a discrete subgroup of infinite covolume of $U(n, 1)$.
math.NT↗
arXiv subjects
Lei Yang
Publications and source records attributed to Lei Yang.
Product formulas on a unitary group in three variables
We obtain some basic partial differential operators connected with nonholomorphic automorphic forms on $Γ\backslash U(2, 1)/K$. We give the corresponding Eisenstein series of weight $k$ and automorphic Green functions of weight $k$. Moreover, we get the product formulas connected with them. As a consequence of the product formulas, we give the functional equations of Eisenstein series associated to a convex cocompact subgroup of U(2,1).
math.NT↗