Sums of many primes

Mathematics – Number Theory

Scientific paper

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Scientific paper

Assuming that the Generalized Riemann Hypothesis (GRH) holds, we prove an
explicit formula for the number of representations of an integer as a sum of
$k\geq 5$ primes. Our error terms in such a formula improve by some logarithmic
factors an analogous result by Friedlander-Goldston.

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