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/