Average Goldbach and the Quasi-Riemann Hypothesis

G. Bhowmik, I. Z. Ruzsa

Research output: Contribution to journalArticle

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)51-56
Number of pages6
JournalAnalysis Mathematica
Issue number1
Publication statusPublished - Mar 1 2018


ASJC Scopus subject areas

  • Mathematics(all)

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