Abstract
with meromorphic pi, , Pm, q, therefore, might be considered as a generalization of an abelian integral, provided that the equation (1) is defined intrinsically on X in an adequate way. This is the standpoint of B. Riemann, though he was interested mainly in the equation of the second order with three regular singular points (see [1], p. 267). Alcng this line, A. Weil [2] tried to establish a non-abelian analogue of the first version of Abel's theorem ([3], p. 122).1
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