Sums of nine almost equal prime cubes  

作　　者：Yanjun YAO 

机构地区：[1]School of Mathematics, Shandong University, Jinan 250100, China

出　　处：《Frontiers of Mathematics in China》2014年第5期1131-1140,共10页中国高等学校学术文摘·数学（英文）

摘　　要：We prove that each sufficiently large odd integer N can be written as sum of the form N = p1^3 ＋p2^3 ＋... ＋p9^3 with [pj - （N/9）^1/31 ≤ N^（1/3）-θ, where pj, j = 1,2,...,9, are primes and θ = （1/51） -ε.We prove that each sufficiently large odd integer N can be written as sum of the form N = p1^3 ＋p2^3 ＋... ＋p9^3 with [pj - （N/9）^1/31 ≤ N^（1/3）-θ, where pj, j = 1,2,...,9, are primes and θ = （1/51） -ε.

关 键 词：Waring-Goldbach problem circle method exponential sum overprimes in short intervals 

分 类 号：O156.4[理学—数学] O156.1[理学—基础数学]