数学物理/复杂变量学术速递[1.10]
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math.MP数学物理，共计0篇
math.CV复杂变量，共计2篇
1.math.MP数学物理:
2.math.CV复杂变量:
【1】 A survey of Nevanlinna theory in the viewpoint of holomorphic forms
标题：从全纯形式看Nevanlinna理论
链接：https://arxiv.org/abs/2201.02360
摘要：This paper revisits the Nevanlinna theory for meromorphic functions on
$\mathbb C$ in the viewpoint of holomorphic forms. According to our
observation, Nevanlinna's functions can be formulated by a holomorphic form.
Applying this thought to Riemann surfaces, one then extends the definition of
Nevanlinna's functions using a holomorphic form $\mathscr S$. With the new
settings, an analogue of Nevanlinna theory on \emph{weak $\mathscr S$-exhausted
Riemann surfaces} is obtained, which is viewed as a generalization of the
classical Nevanlinna theory on $\mathbb C$ and $\mathbb D.$
【2】 Polynomial Dynamical Systems and Differentiation of Genus 4 Hyperelliptic Functions
标题：多项式动力系统与亏格4的超椭圆函数的微分
链接：https://arxiv.org/abs/2201.02462
摘要：We give an explicit solution to the problem of differentiation of
hyperelliptic functions in genus 4 case. We describe explicitly the polynomial
Lie algebras and polynomial dynamical systems connected to this problem.
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