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 -term, we show that our result is essentially the best possible.
Citation
Gautami Bhowmik. Jan-Christoph Schlage-Puchta. "Mean representation number of integers as the sum of primes." Nagoya Math. J. 200 27 - 33, December 2010. https://doi.org/10.1215/00277630-2010-010
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