Difference analogue of Cartan's Second Main Theorem for slowly moving   periodic targets
  We extend the difference analogue of Cartan's second main theorem for the case of slowly moving periodic hyperplanes, and introduce two different natural ways to find a difference analogue of the truncated second main theorem. As applications, we obtain a new Picard type theorem and difference analogues of the deficiency relation for holomorphic curves. 
Risto Korhonen, Nan Li, and Kazuya Tohge
math.CV