Abstract
We prove that each sufficiently large odd integer N can be written as sum of the form N = p 1 3 + p 2 3 + ⋯ + p 9 3 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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