eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2014-12-18 2 6 230 232 10.12691/tjant-2-6-8 TJANT2014268 article Sanying Shi vera123_99@hotmail.com 1 School of Mathematics, Hefei University of Technology, Hefei, China Suppose that E is an algebraic number field over the rational field Let a(n) be the number of integral ideals in E with norm n and (x) denote the remainder term in the asymptotic formula of the l-th integral power sum of a(n). In this paper the bound of the average behavior of (x) is given. This result constitutes an improvement upon that of Lü and Wang for the error terms in mean value. http://pubs.sciepub.com/tjant/2/6/8/tjant-2-6-8.pdf dedekind zeta-function dirichlet series mean value