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Quantitative relations between short intervals and exceptional sets of cubic Waring-Goldbach problem
- Source :
- Open Mathematics, Vol 15, Iss 1, Pp 1517-1529 (2017)
- Publication Year :
- 2017
- Publisher :
- De Gruyter, 2017.
-
Abstract
- 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-(N/j)^{1/3}|\leq N^{1/3- \delta +\varepsilon} (1\leq i\leq j), \end{array} $ for some 0
Details
- Language :
- English
- ISSN :
- 23915455 and 20170130
- Volume :
- 15
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.7c758198bec41018f8fee52eb243028
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2017-0130