Cubic Waring-Goldbach problem with Piatetski-Shapiro primes

Abstract

In this paper, it is proved that, for γ∈(317320,1), every sufficiently large odd integer can be written as the sum of nine cubes of primes, each of which is of the form [n1/γ]. This result constitutes an improvement upon the previous result of Akbal and G\"uloglu [1].

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