Mean representation number of integers as the sum of primes

Details Mean representation number of integers as the sum of primes Mean representation number of integers as the sum of primes

2008-06-20

arxiv.org/abs/0806.3295v3

Nagoya Mathematical Journal (2010) 0-6

Mathematics

Number Theory

Scientific paper

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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