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Sums of nine almost equal prime cubes

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Abstract

We prove that each sufficiently large odd integer N can be written as sum of the form N = p 31 + p 32 + ⋯ + p 39 with |p j − (N/9)1/3| ⩽ N (1/3)−θ, where p j , j = 1, 2, …, 9, are primes and θ = (1/51) − ɛ.

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Correspondence to Yanjun Yao.

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Yao, Y. Sums of nine almost equal prime cubes. Front. Math. China 9, 1131–1140 (2014). https://doi.org/10.1007/s11464-014-0384-4

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  • DOI: https://doi.org/10.1007/s11464-014-0384-4

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