On rational functions with more than three branch points

Jijian Song, Bin Xu

Let $\Lambda$ be a collection of partitions of a positive integer $d$ of the form $$(a_1,\cdots ,a_p),(b_1,\cdots ,b_q),(m_1+1,1,\cdots ,1),\cdots ,(m_l+1,1,\cdots ,1),$$ where $(m_1,\…