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1)  Hurwitz number
Hurwitz数
1.
The authors use algebraic methods to compute the Hurwitz numbers of degree n ramified coverings of a Riemann surface of genus h by a Riemann surface of genus g having r branch points of order (1 n-k ,k).
用代数方法 ,计算分支阶数均为 (1n-k,k)的亏格为 g的黎曼面到亏格为h的黎曼面的n 重分歧覆盖的Hurwitz
2.
A relation between Hurwitz number and Hodge integrals is got via virtual localization method.
这篇文章首先介绍了Hurwitz数的定义及一些性质,然后利用virtual局部化方法推出了Hodge积分与Hurwitz数之间一个联系。
2)  the rings of Hurwitz series
Hurwitz级数环
1.
It is shown that if R is a domain and_ZR is torsion free,then the rings of Hurwitz series over R satisfies the ascending chain condition for principal ideals if and only if R satisfies the ascending chain condition for principal ideals.
证明了如果R是整环并且ZR无挠,则R上的Hurwitz级数环HR满足条件主理想升链条件(ACCP),当且仅当R满足条件ACCP。
3)  ring of Hurwitz series
Hurwitz幂级数环
4)  ring of skew Hurwitz series
斜Hurwitz级数环
1.
On the ring of skew Hurwitz series;
斜Hurwitz级数环
5)  Epstein Hurwitz type zeta function
Epstein-Hurwitz型zeta函数
6)  ring of skew Hurwitz power series
斜Hurwitz幂级数环
补充资料:Hurwitz公式


Hurwitz公式
Hurwftz formula

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