SOME GENERALISATIONS ON THE c-SEPARATED PAIRS AND RELATED RESULTS

摘要

In this paper, we generalise the results obtained by Halburd and Korhonen (2006). We have defined c-separated pairs of order k, and its counting function n_c~((k))(r,a;f) for some complex numbers c, a ∈ ?, and a positive integer k and define the corresponding integrated counting functions N_c~((k))(r,a; f) and N_c~((k))(r, a; f). We then proved the second main theorem for the c-separated pairs of order k and derive some of its consequences related to the exceptional paired values of f.