Logarithmic difference lemma in several complex variables and partial difference equations
arXiv:1806.05423 · doi:10.1007/s10231-019-00899-w
Abstract
In this paper, we mainly propose improvements of the logarithmic difference lemma for meromorphic functions in several complex variables, and then investigate meromorphic solutions of partial difference equations from the viewpoint of Nevanlinna theory.
27 pages. We give some modifications. This is the final version, and to appear in Annali di matematica pura ed applicata