期刊文献+

涉及分担集合L-函数的唯一性

On uniqueness theorem of L-functions sharing sets
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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
关键词 L-函数 分担集合 唯一性 L-function sharing set uniqueness
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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.

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