Abstract
We prove that a suitable asymptotic formula for the average number of representations of integers \(n=p_{1}^{3}+p_{2}^{3}+p_{3}^{3}+p_{4}^{3}\), where \(p_1\), \(p_2\), \(p_3\), \(p_4\) are prime numbers, holds in intervals shorter than the the ones previously known.
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Languasco, A., Zaccagnini, A. Sums of four prime cubes in short intervals. Acta Math. Hungar. 159, 150–163 (2019). https://doi.org/10.1007/s10474-019-00973-y
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DOI: https://doi.org/10.1007/s10474-019-00973-y