Bhowmik, G. and Ruzsa, Z. Imre (2018) Average Goldbach and the Quasi-Riemann Hypothesis. ANALYSIS MATHEMATICA, 44 (1). pp. 51-56. ISSN 0133-3852
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Official URL: https://doi.org/10.1007/s10476-018-0105-4
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.
| Item Type: | Article |
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| Uncontrolled Keywords: | NUMBER; Primes; Riemann hypothesis; Goldbach problem; Chebyshev function; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 14 Jan 2019 08:30 |
| Last Modified: | 14 Jan 2019 08:30 |
| URI: | http://real.mtak.hu/id/eprint/89836 |
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