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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.13368 |
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| _version_ | 1866929508121051136 |
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| author | Nguyen, Thi Thu |
| author_facet | Nguyen, Thi Thu |
| contents | We study an asymptotic formula for average orders of Goldbach representations of an integer as the sum of k primes. We extend the existing result for k=2 to a general k, for which we obtain a better error term. Moreover, we prove an equivalence between the Riemann Hypothesis and a good average order in this case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13368 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Goldbach Representations with several primes Nguyen, Thi Thu Number Theory We study an asymptotic formula for average orders of Goldbach representations of an integer as the sum of k primes. We extend the existing result for k=2 to a general k, for which we obtain a better error term. Moreover, we prove an equivalence between the Riemann Hypothesis and a good average order in this case. |
| title | Goldbach Representations with several primes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.13368 |