满足同一个Riemann型函数方程的L-函数的唯一性  

Uniqueness of a Certain L-Functions Satisfying the Same Riemann-Type Functional Equation

作　　者：李效敏[1] 范晓燕 LI Xiao-min;FAN Xiao-yan(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《数学的实践与认识》2023年第3期252-262,共11页Mathematics in Practice and Theory

基　　金：中央高校基本科研业务费专项(3016000841964007);山东省自然科学基金(ZR2019MA029)。

摘　　要：利用L-函数的性质证明了满足同一个Riemann型函数方程的扩充的Sel-berg类中的次数大于零的L-函数分担一个有限值的定理,并应用该定理证明了满足同一个Riemann型函数方程的涉及公共值的唯一性定理,所得结果改进了J.Steuding和李宝勤的有关结果,也是S.M.Gonek,J.Haan和H.Ki主要结果的补充.By using the properties of L-functions,we prove a theorem of L-functions in the extended Selberg class which have the positive degree and satisfy the same Riemanntype functional equation and share a finite value.As an application,we prove a uniqueness theorem of L-functions which refer to shared values and satisfy the same functional equation.The results obtained in this paper improves the corresponding results by J.Steuding and B.Q.Li respectively.The results obtained in this paper also the supplements of S.M.Gonek,J.Haan and H.Ki.

关 键 词：NEVANLINNA理论 扩充Selberg类 L-函数 唯一性定理 

分 类 号：O174.52[理学—数学]