陕西师范大学学报(自然科学版)2017,Vol.45Issue(4):18-22,5.DOI:10.15983/j.cnki.jsnu.2017.04.146
关于L-函数一类二次均值的计算公式
On the computational formula of one kind mean square value of L-functions
摘要
Abstract
Using the analytic method and the properties of Dedekind sums, the computational problems of one kind mean square value of Dirichlet L-functions are studied, several exact computational formulas are given for ∑χ(-1)=1|L(1,χλ)|2, where the summation over all even characters χ mod q,λ is a fixed odd character mod r with q,r≥3 and (r,q)=1.关键词
DirichletL-函数/偶特征/二次均值/计算公式Key words
Dirichlet L-function/even character/mean square value/computational formula分类
数理科学引用本文复制引用
朱敏慧,杨晓柳..关于L-函数一类二次均值的计算公式[J].陕西师范大学学报(自然科学版),2017,45(4):18-22,5.基金项目
国家自然科学基金(11371291) (11371291)