Sums of nine almost equal prime cubes

doi:10.1007/s11464-014-0384-4

Front. Math. China

2014, Vol. 9

Issue (5) : 1131-1140 https://doi.org/10.1007/s11464-014-0384-4

RESEARCH ARTICLE

Sums of nine almost equal prime cubes

Yanjun YAO(

)

School of Mathematics, Shandong University, Jinan 250100, China

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Abstract

We prove that each sufficiently large odd integer N can be written as sum of the form N=p13+p23+?+p93 with |pj-(N/9)1/3|≤N(1/3)-θ, where p_j, j = 1, 2, … , 9, are primes and θ=(1/51)-?.

Keywords Waring-Goldbach problem circle method exponential sum over primes in short intervals

Corresponding Author(s): Yanjun YAO

Issue Date: 26 August 2014

Cite this article:

Yanjun YAO. Sums of nine almost equal prime cubes[J]. Front. Math. China, 2014, 9(5): 1131-1140.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-014-0384-4
https://academic.hep.com.cn/fmc/EN/Y2014/V9/I5/1131

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