Mixed automorphic forms generalize elliptic modular forms, and they occur naturally as holomorphic forms of the highest degree on families of abelian varieties parametrized by a Riemann surface. We construct generalized Eisenstein series and Poincaré series, and prove that they are mixed automorphic forms.
@article{urn:eudml:doc:41562, title = {Eisenstein series and Poincar\'e series for mixed automorphic forms.}, journal = {Collectanea Mathematica}, volume = {51}, year = {2000}, pages = {225-236}, zbl = {1053.11045}, mrnumber = {MR1814326}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41562} }
Ho Lee, Min. Eisenstein series and Poincaré series for mixed automorphic forms.. Collectanea Mathematica, Tome 51 (2000) pp. 225-236. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41562/