Hardy和及其均值  

On the mean value of the Hardy sums

作　　者：姚维利[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《纺织高校基础科学学报》2009年第2期155-159,共5页Basic Sciences Journal of Textile Universities

基　　金：上海大学创新基金资助项目(10-0101-07-410);上海市优秀青年教师科研基金资助项目(37-0101-07-704)

摘　　要：Hardy和的均值性质是许多学者研究的一个热点,但是对s4(h,k)均值性质的研究仍然是个空白.利用Hardy和s4(h,k)与三角函数的关系及D irich letL-函数的均值定理,研究了s4(h,k)的三次均值性质,并得到了3个有趣的渐近公式.The properties of Hardy sums have been studied by many sholars, but there is still a blank on study of s4 （h, k）. In this paper, the second power mean properties of s4 （h,k） is studied by using the mean theorem of Dirichlet L-function and the relationship between the trigonometric function and the Hardy sums. And three intresting asymptotic formula are also obtained.

关 键 词：Hardy和 DEDEKIND和 均值分布 渐近公式 

分 类 号：O156[理学—数学]