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We construct mixed automorphic forms associated to a certain class of linear ordinary differential equations and establish a relation between the monodromy of such a differential equation and the periods of the corresponding mixed automorphic form.
Certain classes of linear ordinary differential equations are closely linked to automorphic forms of one variable. We construct Hecke operators on the space of certain nonhomogeneous linear ordinary differential equations that are compatible with the usual Hecke operators on automorphic forms.
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