Differential equations for automorphic forms in several complex variables
Differential equations for automorphic forms in several complex variables
In a paper published in 1889, Hurwitz [3] proved that the holomorphic automorphic forms and the meromorphic automorphic functions associated with groups arising from the Riemann surfaces of algebraic functions satisfy algebraic differential equations of order at most three; cf. [5], [8], and [11].1 More precisely, given such a form …