【摘 要】
：
Let d be a positive integer and Λ be a collection of partitions of d of the form (a1,...,ap),(b1,...,bq),(m1 + 1,1,...,1),...,(mL + 1,1,...,1),where (m1,...,ml
【机 构】
：
Center for Applied Mathematics, Tianjin University, Tianjin 300350, China;Wu Wen-Tsun Key Laboratory
论文部分内容阅读
Let d be a positive integer and Λ be a collection of partitions of d of the form (a1,...,ap),(b1,...,bq),(m1 + 1,1,...,1),...,(mL + 1,1,...,1),where (m1,...,ml) is a partition of p + q-2 ＞ 0.We prove that there exists a rational function on the Riemann sphere with branch data A if and only if max(m1,...,ml) ＜ d/GCD(a1,...,ap,b1,...,bq).As an application,we give a new class of branch data which can be realized by Belyi functions on the Riemann sphere.
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