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arXiv · 1711.06442

Average Goldbach and the Quasi-Riemann Hypothesis

Gautami Bhowmik·Imre Z. Ruzsa
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Abstract

We prove that a good average order on the Goldbach generating function implies that the real parts of the non-trivial zeros of the Riemann zeta function are strictly less than 1. This together with existing results establishes an equivalence between such asymptotics and the Riemann Hypothesis.

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Gautami Bhowmik, Imre Z. Ruzsa. 2017-11-17. Average Goldbach and the Quasi-Riemann Hypothesis. https://arxiv.org/abs/1711.06442

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