涉及分担集合L-函数的唯一性
On uniqueness theorem of L-functions sharing sets
摘要
利用Nevanlinna理论研究了在广义Selberg类中的L-函数的唯一性.
Using Nevanlinna theory, we study the uniqueness theorems of L-functions in the (extended) Selberg Class.
出处
《广西科技大学学报》
CAS
2014年第3期69-72,共4页
Journal of Guangxi University of Science and Technology
基金
国家自然科学基金项目(11371225)
福建省自然科学基金项目(2011J01006)资助
参考文献10
-
1Li B Q. A Result on Value Distribution of L-functions [ J ]. Proc. Am. Math. Soc., 2010, 138 (6):2071-2077.
-
2Li X M, Yi H X. Results on Value Distribution of L-functions [ J ]. Mathematische Nachrichten, 2013,286 ( 13 ): 1326-1336.
-
3Selberg A. Old and new Conjectures and Results about a Class of Dirichlet Series [ C ]. Maiori: the Amalfi Conference on Analytie Number Theory, 1989: 367-385.
-
4Steuding J. Value-distribution of L-functions[M]. Berlin :Springer, 2007.
-
5Hayman W K. Meromo)hic Functions [ M ]. Oxford:Clarendon Press, 1964.
-
6Yang C C, Yi H X. Uniqueness Theory of Meromorphic Functions[M]. Beijing :Science Press, 2003.
-
7Frank G, Reinders M. A Unique Range set for Meromorphic Functions with 11 Elements[Jl. Complex Var. Theory Appl., 1998, 37 ( 1-4):185-193.
-
8Gross F. Factorization of Meromol)hic Functions and some open Problems [ C ]. Berlin: In Complex Analysis, 1977: 51-67.
-
9李启凡,熊维玲,丁云娟.关于分担两个集合的亚纯函数的唯一性[J].广西工学院学报,2007,18(4):9-12. 被引量:2
-
10林珊华,魏丽萍.亚纯函数及其齐次微分多项式分担小函数[J].广西工学院学报,2011,22(4):84-89. 被引量:3
二级参考文献12
-
1W.K.Hayman. Meromorphic Functions[M]. Oxford:Clarendon Press, 1964.
-
2LYang. Value Distribution Theory[M].Berlin:Springer-Verlag, 1993.
-
3S.Lin and W.C.Lin.Uniqueness of meromorphic functions concerning weakly weighted sharing [ J ]. Kodai Math.J., 2006,29: 269-280.
-
4I.Lahiri and A.Sarkar. Uniqueness ofa meromorphic function and its defivative[J].J.Inequal.Pure and Appl.Math. ,2004,5(1 ) : 1-9.
-
5Kit-Wing Yu. On entire and meromorphic functions that share small functions with their derivatives [J].J.Inequal.Pure and Appl. math., 2003,4 (1) : 1-7.
-
6A.Z.Mohon'ko. On the Nevanlinna characteristics of some meromorphic functions, Theory of Functions [J ], Functional Analysis and Their Applications, 1971,14: 83-87.
-
7Yang Chungchun, Yi Hongxun. Uniqueness theory of meromorphic functions. Mathematics and its Applications[M]. Kluwer Academic Publishem Group, Dordrecht, 2003.
-
8Yi Hongxun. A question of Gross and the uniqueness of entire functions[J]. Nagoya Math, 1995, (138) : 169-177.
-
9Yi Hongxun. Meromorphic functions that share two sets. (Chinese) Acta Math[J]. Sinica (Chin. Sex. ),2002,45 (1): 75-82.
-
10Zhou Houqing. Meromorphic functions shared two finite sets[J]. (Chinese) Journal of Shaoyang University(Natural Sciences), 2005,2(2) :5--6.
-
1杨明鹏,罗杰.涉及不动点的L-函数的唯一性定理[J].莆田学院学报,2014,21(5):1-3.
-
2张秉儒.S^G类图簇的伴随多项式的因式分解及色性分析[J].数学进展,2004,33(4):425-433. 被引量:10
-
3庄大奎,王文耀,邱佩华,刘华,舒菊坪.噁英鎓类高聚物薄膜非线性折射率的测量及其时间分辨研究[J].光学学报,1992,12(6):572-574.
-
4沈洁,蔡田怡,雎胜,吴银忠.SrTcO_3晶体结构和电子结构的第一性原理研究[J].常熟理工学院学报,2014,28(4):22-25.
-
5毛先进,杨玲英.病态线性方程组的简单迭代解法[J].物探化探计算技术,1999,21(1):14-18. 被引量:13
-
6陈晓友.相关于次截面的类函数的性质[J].厦门大学学报(自然科学版),2013,52(4):437-440.
-
7谢淑翠,王海燕.单叶函数子族的性质[J].陕西师大学报(自然科学版),1997,25(1):25-28.
-
8唐斯密,朱石坚,楼京俊.非线性吸振器刚度调整策略研究[J].武汉理工大学学报(交通科学与工程版),2011,35(1):163-166. 被引量:2
-
9邱国新,王金山,沈浮.基于NBU_(Mg)类分布的更换策略比较(英文)[J].大学数学,2013,29(4):20-23. 被引量:1
-
10张慧荣,曹建文.针对对称对角占优线性系统的组合预条件算法[J].数值计算与计算机应用,2015,36(4):310-322.