Consider a simply-connected Riemann surface represented by a Speiser graph. Nevanlinna asked if the type of the surface is determined by the mean excess of the graph: whether mean excess zero implies ...

Complex analysis and minimal surfaces constitute deeply intertwined fields that have consistently enriched each other through mutual advances in theory and application. In this context, complex ...

This is a preview. Log in through your library . Abstract We prove that given any meromorphic function $f$ on a compact Riemann surface $M'$ there exists another ...