On the mean-square of the error term related ton ∑_（n≤x）λ~2（nj）  

作　　者：LAO HuiXue SANKARANARAYANAN Ayyadurai 

机构地区：[1]Department of Mathematics, Shandong Normal University, Jinan 250014, China [2]School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India

出　　处：《Science China Mathematics》2011年第5期855-864,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.11026075, 10971119);the Natural Science Foundation of Shandong Province (Grant No. ZR2009AQ007)

摘　　要：We prove a non-trivial upper bound for the quantity ∫X2|X ∑_(n≤x)λ~2(nj)-c(j-1)x| 2dx for j=2, 3, 4.We prove a non-trivial upper bound for the quantity ∫X2｜X ∑_（n≤x）λ~2（nj）-c（j-1）x｜ 2dx for j=2, 3, 4.

关 键 词：Rankin-Selberg zeta-function symmetric square L-functions mean-value theorems 

分 类 号：O156.4[理学—数学] TV653[理学—基础数学]