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Mean representation number of integers as the sum of primes
Gautami Bhowmik, Jan-Christoph Schlage-Puchta
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Source: Crossref
Published: Dec 1, 2010
DOI: 10.1215/00277630-2010-010
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Abstract Assuming the Riemann hypothesis, we obtain asymptotic estimates for the mean value of the number of representations of an integer as a sum of two primes. By proving a corresponding Ω-term, we show that our result is essentially the best possible.
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