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arXiv · 0806.3295

Mean representation number of integers as the sum of primes

Gautami Bhowmik·Jan-Christoph Schlage-Puchta
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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 Omega-term, we prove that our result is essentially the best possible.

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Gautami Bhowmik, Jan-Christoph Schlage-Puchta. 2010-03-02. Mean representation number of integers as the sum of primes. https://arxiv.org/abs/0806.3295

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