On sums of powers of almost equal primes
On sums of powers of almost equal primes
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DOI：
10.1016/j.jnt.2016.12.003
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发表时间：
2016-08
期刊：
影响因子：
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通讯作者：
A. Kumchev;Huafeng Liu
中科院分区：
文献类型：
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作者：
A. Kumchev;Huafeng Liu
Let k≥ 2 and s be positive integers, and let n be a large positive integer subject to certain local conditions. We prove that if s≥ k 2+ k+ 1 and θ> 31/40, then n can be expressed as a sum p 1 k+…+ p s k, where p 1,…, p s are primes with| p j−(n/s) 1/k|≤ n θ/k. This improves on earlier work by Wei and Wooley [15] and by Huang [8] who proved similar theorems when θ> 19/24.
