Mean representation number of integers as the sum of primes
classification
🧮 math.NT
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meannumberprimesassumingasymptoticbestcorrespondingessentially
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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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