On algebraic differential equations satisfied by automorphic functions: To Bernhard Hermann Neumann on his 60th birthday

K. Mahler

doi:10.1017/S1446788700007709

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In the present note, I investigate the question whether automorphic functions of the Fuchsian type can satisfy algebraic differential equations of the second order. Under rather general restrictions on the corresponding group, it is proved that there is no such differential equation.

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