RESEARCH ARTICLE

Sums of nine almost equal prime cubes

  • Yanjun YAO
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  • School of Mathematics, Shandong University, Jinan 250100, China

Received date: 24 Feb 2014

Accepted date: 21 Apr 2014

Published date: 26 Aug 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

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 pj, j = 1, 2, … , 9, are primes and θ=(1/51)-ϵ.

Cite this article

Yanjun YAO . Sums of nine almost equal prime cubes[J]. Frontiers of Mathematics in China, 2014 , 9(5) : 1131 -1140 . DOI: 10.1007/s11464-014-0384-4

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