刘丽,陆洪文.虚二次域的L-函数在中心点的值[J].数学年刊A辑,2009,30(4):447~454
虚二次域的L-函数在中心点的值
On the Values at Central Points of L-Functions for Imaginary Quadratic Number Fields
  
DOI:
中文关键词:  二次数域  L-函数  Dirichlet特征  理想类  二元二次型
英文关键词:Quadratic number fields, L-function, Dirichlet character, Ideal class, Binary quadratic form
基金项目:国家自然科学基金,安徽省科技攻关项目,安徽高校省级自然科学研究重点项目(No.KJ2009A44)资助的项目
Author NameAffiliationE-mail
LIU Li School of Mathematics, Hefei University of Technology, Hefei 230009, China
Department of Mathematics, Tongji University, Shanghai 200092, China. 
liuli-1128@163.com 
LU Hongwen Department of Mathematics, Tongji University, Shanghai 200092, China. lu-hongwen@163.com 
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中文摘要:
      给出了虚二次数域的一类L-函数在中心点的值,这为研究Dirichlet L-函数在中心点的算术意义提供了一条新的途径.
英文摘要:
      This paper obtains the values at central points of a class of L-functions for imaginary quadratic number fields, which gives a new thoughtway to study arithmetical meaning of the Dirichlet L-functions at central points.
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