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arxiv: 1101.3489 · v1 · pith:3E4AT7YPnew · submitted 2011-01-18 · 🧮 math.NT

Sums of many primes

classification 🧮 math.NT
keywords formulaprimesanalogousassumingerrorexplicitfactorsfriedlander-goldston
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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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