ON A PROBLEM OF SUMS OF MIXED POWERS(II)  

作　　者：LUMINGGAO YUGANG 

机构地区：[1]DepartmentofMathematics,ShanghaiUniversity（JiadingCampus）,Shanghai201800 [2]DepartmentofMathematics,UniversityofGeorgia,AthensGA30602

出　　处：《Chinese Annals of Mathematics,Series B》1997年第2期243-248,共6页数学年刊（B辑英文版）

摘　　要：Let R b,c (n) denote the number of representations of n as the sum of one square, four cubes, one b-th power and one c-th power of natural numbers. It is shown that if b=4, 4 c 35, or b=5, 5 c 13, or b=6, 6 c 9, or b=c=7, then R b,c (n)》n 5/6+1/b+1/c for all sufficiently large n.

关 键 词：Mixed power Warings problem and variants Asymptotic formulae 

分 类 号：O156.1[理学—数学]