Meromorphic Continuation of the Goldbach generating function

Details Meromorphic Continuation of the Goldbach generating function Meromorphic Continuation of the Goldbach generating function

2010-02-25

arxiv.org/abs/1002.4806v1

soumis (2010) 1-10

Mathematics

Number Theory

Scientific paper

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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