Meromorphic Continuation of the Goldbach generating function
classification
🧮 math.NT
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continuationfunctionmeromorphicriemannseriesassociatedassumingconsider
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We consider the Dirichlet series associated to the number of representations of an integer as the sum of primes. Assuming the Riemann hypothesis on the distribution of the zeros of the Riemann zeta function we obtain the domain of meromorphic continuation of this series.
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