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PASCUAL CUTILLAS RIPOLL Let V be a compact Riemann surface and V be the complement in V of a nonvoid finite subset . Let M(V) be the field of meromorphic functions in V. In this paper are studied the ramification divisors of the functions in M(V') which have exponential singularities of finite degree at the points of V -V', and one proves, for instante, that if a function in M(V) belongs to the subfield generated by the functions of this type, and has a finite ramification divisor, it also hasdoi:10.5565/publmat_33189_14 fatcat:idta3kgomvbpba42tzz2r4yf3i