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Search: MSC category 30D35 ( Distribution of values, Nevanlinna theory )

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1. CMB Online first

Ha, Pham Hoang; Kawakami, Yu
A note on a unicity theorem for the Gauss maps of complete minimal surfaces in Euclidean four-space
The classical result of Nevanlinna states that two nonconstant meromorphic functions on the complex plane having the same images for five distinct values must be identically equal to each other. In this paper, we give a similar uniqueness theorem for the Gauss maps of complete minimal surfaces in Euclidean four-space.

Keywords:minimal surface, Gauss map, unicity theorem
Categories:53A10, 30D35, 53C42

2. CMB 2012 (vol 56 pp. 769)

Lahiri, Indrajit; Kaish, Imrul
A Non-zero Value Shared by an Entire Function and its Linear Differential Polynomials
In this paper we study uniqueness of entire functions sharing a non-zero finite value with linear differential polynomials and address a result of W. Wang and P. Li.

Keywords:entire function, linear differential polynomial, value sharing

3. CMB 2008 (vol 51 pp. 334)

Ascah-Coallier, I.; Gauthier, P. M.
Value Distribution of the Riemann Zeta Function
In this note, we give a new short proof of the fact, recently discovered by Ye, that all (finite) values are equidistributed by the Riemann zeta function.

Keywords:Nevanlinna theory, deficiency, Riemann zeta function

4. 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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