Average orders of Goldbach Estimates in Arithmetic Progressions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908344514510848 |
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| author | Nguyen, Thi Thu |
| author_facet | Nguyen, Thi Thu |
| contents | We obtain asymptotic results on the average numbers of Goldbach representations of an interger as the sum of two primes in different arithmetic progressions. We also prove an omega-result showing that the asymptotic result is essentially the best possible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18266 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Average orders of Goldbach Estimates in Arithmetic Progressions Nguyen, Thi Thu Number Theory Primary 11P32, Secondary 11P55 We obtain asymptotic results on the average numbers of Goldbach representations of an interger as the sum of two primes in different arithmetic progressions. We also prove an omega-result showing that the asymptotic result is essentially the best possible. |
| title | Average orders of Goldbach Estimates in Arithmetic Progressions |
| topic | Number Theory Primary 11P32, Secondary 11P55 |
| url | https://arxiv.org/abs/2407.18266 |