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 $k\geq 3$ primes. We improve, using a smoothing technique, Friedlander-Goldston's recent results on this topic. Moreover, we remark that the argument we use can also be applied to other similar problems.
Some refinements of error terms estimates for certain additive problems with primes
LANGUASCO, ALESSANDRO
2000
Abstract
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 $k\geq 3$ primes. We improve, using a smoothing technique, Friedlander-Goldston's recent results on this topic. Moreover, we remark that the argument we use can also be applied to other similar problems.
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