Value distribution theory of $q$-differences in several complex variables

Tingbin Cao, Risto Korhonen

Published 2016-12-22Version 1

In this paper, $q$-difference analogues of several central results in value distribution theory of several complex variables are obtained. The main result is the $q$-difference second main theorem for hypersurfaces. In addition, $q$-difference versions of the logarithmic derivative lemma, the second main theorem for hyperplanes, Picard's theorem, and the Tumura-Clunie theorem, are included.