Sums of four prime cubes in short intervals

Alessandro Languasco; Alessandro Zaccagnini

doi:10.1007/s10474-019-00973-y

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arXiv · 1705.04457

Sums of four prime cubes in short intervals

Alessandro Languasco·Alessandro Zaccagnini

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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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Alessandro Languasco, Alessandro Zaccagnini. 2018-05-19. Sums of four prime cubes in short intervals. https://doi.org/10.1007/s10474-019-00973-y

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