Quantitative relations between short intervals and exceptional sets of cubic Waring-Goldbach problem
In this paper, we are able to prove that almost all integers n satisfying some necessary congruence conditions are the sum of j almost equal prime cubes with j = 7, 8, i.e., N=p13+…+pj3$\begin{array}{} N=p_1^3+ \ldots +p_j^3 \end{array} $ with |pi−(N/j)1/3|≤N1/3−δ+ε(1≤i≤j),$\begin{array}{} |p_i-(...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-12-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2017-0130 |