Partitions into Sums of Two Squares
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908500808957952 |
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| author | Palacios, Jaime |
| author_facet | Palacios, Jaime |
| contents | We use a variation of the Circle Method, along with the Saddle Point Method, to obtain an asymptotic formula for the number of partitions of a number n into integers which are sums of two squares. Unlike previous work on partitions into restricted parts, we need to handle a Dirichlet series with a fractional singularity |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17662 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Partitions into Sums of Two Squares Palacios, Jaime Number Theory We use a variation of the Circle Method, along with the Saddle Point Method, to obtain an asymptotic formula for the number of partitions of a number n into integers which are sums of two squares. Unlike previous work on partitions into restricted parts, we need to handle a Dirichlet series with a fractional singularity |
| title | Partitions into Sums of Two Squares |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.17662 |