International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 4, Pages 661-668
doi:10.1155/S0161171290000916

Mixed automorphic forms and differential equations

Abstract

We construct mixed automorphic forms associated to a certain class of nonhomogeneous linear ordinary differential equations. We also establish an isomorphism between the space of mixed automorphic forms of the second kind modulo exact forms nd a certain parabolic cohomology explicitly in terms of the periods of mixed automorphic forms.