Some New Results in Waring's Problem  

作　　者：Meng Zaizhao, Department of Mathematics Peking University Beijing 100871 China 

出　　处：《Acta Mathematica Sinica,English Series》1996年第3期262-267,共6页数学学报（英文版）

摘　　要：Let G(k) denote the smallest number s such that every sufficiently large natural number is the sum of, at most, s k-th powers of natural numbers. In this paper, we give new bounds for G(12), G(13) and G(19).Let G(k) denote the smallest number s such that every sufficiently large natural number is the sum of, at most, s k-th powers of natural numbers. In this paper, we give new bounds for G(12), G(13) and G(19).

关 键 词：Waring’s problom Circle method Iterative method DIFFERENCE 

分 类 号：O1[理学—数学]