Abstract
In this paper, we are able to sharpen Hua’s result by proving that almost all integers satisfying some necessary congruence conditions can be represented as
where p j are primes and \(U=N^{\frac{1}{3}-\delta_{s}+\varepsilon }\) with \(\delta_{s}=\frac{s-4}{6s+72}\), where s=5,6,7,8.
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This work is supported by the National Natural Science Foundation of China (Grant No. 11101239).
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Liu, Z., Sun, Q. Sums of cubes of primes in short intervals. Ramanujan J 28, 309–321 (2012). https://doi.org/10.1007/s11139-012-9383-9
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DOI: https://doi.org/10.1007/s11139-012-9383-9