On finite modifications of algebroid surfaces (Q1073959)

This paper continues the author's earlier work in Kōdai Math. Sem. Reports 19, 415-424 (1967; Zbl 0164.089). If n is an integer greater than 1 and G,g are entire functions whose zeros all have order less than n and relatively prime to n, the Riemann surface of \(y^ n=G(z)\) is a finite modification of that of \(y^ n=g(z)\) if the G,g have the same zero with the same multiplicity for \(| z| >r_ 0\). The author studies the question of the Picard constants of such surfaces and the existence of analytic mappings between surfaces.