The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integer
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866918407730888704 |
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| author | Migliaccio, Alessandra Zaccagnini, Alessandro |
| author_facet | Migliaccio, Alessandra Zaccagnini, Alessandro |
| contents | We extend a result by Ikeda and Suriajaya (2025) to find the asymptotic behaviour of the average number of representations of an integer $n$, over multiples of a fixed $q\ge 2$, as a sum of two prime $k$-th powers, for $k\ge 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24120 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integer Migliaccio, Alessandra Zaccagnini, Alessandro Number Theory Primary 11P32. Secondary 11M26 We extend a result by Ikeda and Suriajaya (2025) to find the asymptotic behaviour of the average number of representations of an integer $n$, over multiples of a fixed $q\ge 2$, as a sum of two prime $k$-th powers, for $k\ge 2$. |
| title | The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integer |
| topic | Number Theory Primary 11P32. Secondary 11M26 |
| url | https://arxiv.org/abs/2603.24120 |