Some Refinements of Error Terms Estimates for Certain Additive Problems with Primes Original Research Article

We study, under the assumption of the Generalized Riemann Hypothesis, the individual and mean-square error terms for the number of integers representable as a sum of kgreater-or-equal, slanted3 primes. We improve, using a smoothing technique, Friedlander–Goldstonʹs recent results on this topic. Moreover, we remark that the argument we use can also be applied to other similar problems.