Zeta functions
December 1-5, 2008, Moscow, Russia
Institut de Mathematiques de Luminy, Marseille, France
gautami.bhowmik (at) math.univ-lille1.fr
Zeta functions of Goldbach numbers
We consider the zeta function associated to the Goldbach function G(n)=\Sum_{k_1+k_2=n}\Lambda(k_1)\Lambda(k_2) and prove error and omega terms for g(x)=\sum_{n\le x} G(n) under the Riemann Hypothesis. We also treat the generating Dirichlet series for G(n).
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