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Search: All articles in the CMB digital archive with keyword meromorphic function

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1. CMB 2015 (vol 59 pp. 119)

Hu, Pei-Chu; Li, Bao Qin
A Simple Proof and Strengthening of a Uniqueness Theorem for L-functions
We give a simple proof and strengthening of a uniqueness theorem for functions in the extended Selberg class.

Keywords:meromorphic function, Dirichlet series, L-function, zero, order, uniqueness
Categories:30B50, 11M41

2. CMB 2015 (vol 58 pp. 596)

Ongaro, Jared; Shapiro, Boris
A Note on Planarity Stratification of Hurwitz Spaces
One can easily show that any meromorphic function on a complex closed Riemann surface can be represented as a composition of a birational map of this surface to $\mathbb{CP}^2$ and a projection of the image curve from an appropriate point $p\in \mathbb{CP}^2$ to the pencil of lines through $p$. We introduce a natural stratification of Hurwitz spaces according to the minimal degree of a plane curve such that a given meromorphic function can be represented in the above way and calculate the dimensions of these strata. We observe that they are closely related to a family of Severi varieties studied earlier by J. Harris, Z. Ran and I. Tyomkin.

Keywords:Hurwitz spaces, meromorphic functions, Severi varieties

3. CMB 2004 (vol 47 pp. 152)

Zheng, Jian-Hua
On Uniqueness of Meromorphic Functions with Shared Values in Some Angular Domains
In this paper we investigate the uniqueness of transcendental meromorphic function dealing with the shared values in some angular domains instead of the whole complex plane.

Keywords:Nevanlinna theory, meromorphic function, shared value

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