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- W1812454906 abstract "Consider a collection $Lambda$ of partitions of a positive integer $d$ with 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 $(m_1,cdots, m_l)$ is a partition of $p+q-2>0$. We prove that there exists a rational function on the Riemann sphere with branch data $Lambda$ if and only if $maxbigl(m_1,cdots,m_lbigr)$ is less than $d/{rm GCD}(a_1,cdots, a_p,b_1,cdots, b_q)$, which generalizes a theorem of G. Boccara in Discrete Math.(1982). As an application, we give a new class of branch data which can be realized by Belyi functions on the Riemann sphere." @default.
- W1812454906 created "2016-06-24" @default.
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- W1812454906 date "2015-10-20" @default.
- W1812454906 modified "2023-09-27" @default.
- W1812454906 title "Certain rational functions on the Riemann sphere with more than three branch points" @default.
- W1812454906 hasPublicationYear "2015" @default.
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