Picard constants of three-sheeted algebroid surfaces with \(p(y)=5\)
In [Kodai Math. J. 18, 142-155 (1995; Zbl 0835.30023)], \textit{K. Sawada} and \textit{K. Tohge} proved that every three-sheeted algebroid Riemann surface defined by \(y^3-S_1(z)y^2+S_2(z)y=S_3(z)\) with entire coefficients and the number of Picard values \(p(y)=5\), has its Picard constant \(P(R)=\sup p(f)\), \(f\) meromorphic non-constant on~\(R\), provided its discriminant is not of the form \(e^{\delta H}(Ae^{4H}+B)\), \(\delta=0\) or \(\delta=1\). In the present paper, the additional restriction will be removed.
scientific article; zbMATH DE number 1547128