scholarly journals Uniqueness of L-Functions Concerning Certain Differential Polynomials

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Wen-Jie Hao ◽  
Jun-Fan Chen
Keyword(s):  
Nevanlinna Theory ◽  
Selberg Class ◽  
Differential Polynomials ◽  
Extended Selberg Class

Relying on Nevanlinna theory and the properties of L-functions in the extended Selberg class, we mainly study the uniqueness problems on L-functions concerning certain differential polynomials. This generalizes some results of Steuding, Li, Fang, and Liu-Li-Yi.

A uniqueness theorem for functions in the extended Selberg class

2014 ◽  
Vol 278 (3-4) ◽  
pp. 995-1004 ◽  
Author(s):  
Steven M. Gonek ◽  
Jaeho Haan ◽  
Haseo Ki
Keyword(s):  
Uniqueness Theorem ◽  
Selberg Class ◽  
Extended Selberg Class

A Simple Proof and Strengthening of a Uniqueness Theorem for L-functions

2016 ◽  
Vol 59 (01) ◽  
pp. 119-122 ◽  
Author(s):  
Pei-Chu Hu ◽  
Bao Qin Li
Keyword(s):  
Uniqueness Theorem ◽  
Simple Proof ◽  
Selberg Class ◽  
Extended Selberg Class

Abstract We give a simple proof and strengthening of a uniqueness theorem for functions in the extended Selberg class.

scholarly journals On the zeros of degree one L-functions from the extended Selberg class

2011 ◽  
Vol 149 (1) ◽  
pp. 23-36
Author(s):  
Haseo Ki ◽  
Yoonbok Lee
Keyword(s):  
Selberg Class ◽  
Extended Selberg Class

scholarly journals On some generalizations of theorems of Toda and Weissenborn to differential polynomials

1989 ◽  
Vol 115 ◽  
pp. 199-207 ◽  
Author(s):  
Katsuya Ishizaki
Keyword(s):  
Nevanlinna Theory ◽  
Differential Polynomials

We assume that the readers are familiar with the notations in Nevanlinna theory, see [2], [9].

scholarly journals A CLUNIE LEMMA FOR DIFFERENCE AND q-DIFFERENCE POLYNOMIALS

2009 ◽  
Vol 81 (1) ◽  
pp. 23-32 ◽  
Author(s):  
ZHI-BO HUANG ◽  
ZONG-XUAN CHEN
Keyword(s):  
Nevanlinna Theory ◽  
Total Degree ◽  
Differential Polynomials ◽  
Difference Polynomials ◽  
The Difference

AbstractThe main purpose of this paper is to prove difference and q-difference counterparts of the Clunie lemma from the Nevanlinna theory of differential polynomials, where the difference and q-difference polynomials can contain many terms of maximal total degree in f(z) and its ( q-)shifts.

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