Inverse problems for sumset sizes of finite sets of integers
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909523497713664 |
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| author | Nathanson, Melvyn B. |
| author_facet | Nathanson, Melvyn B. |
| contents | Let $A$ be a finite set of integers and let $hA$ be its $h$-fold sumset. This paper investigates the sequence of sumset sizes $( |hA| )_{h=1}^{\infty}$, the relations between these sequences for affinely inequivalent sets $A$ and $B$, and the comparative growth rates and configurations of the sumset size sequences $( |hA| )_{h=1}^{\infty}$ and $( |hA| )_{h=1}^{\infty}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_16154 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inverse problems for sumset sizes of finite sets of integers Nathanson, Melvyn B. Number Theory 11B05, 11B13, 11B34, 11B75, 11D04, 11D07, 11P70, 05A16 Let $A$ be a finite set of integers and let $hA$ be its $h$-fold sumset. This paper investigates the sequence of sumset sizes $( |hA| )_{h=1}^{\infty}$, the relations between these sequences for affinely inequivalent sets $A$ and $B$, and the comparative growth rates and configurations of the sumset size sequences $( |hA| )_{h=1}^{\infty}$ and $( |hA| )_{h=1}^{\infty}$. |
| title | Inverse problems for sumset sizes of finite sets of integers |
| topic | Number Theory 11B05, 11B13, 11B34, 11B75, 11D04, 11D07, 11P70, 05A16 |
| url | https://arxiv.org/abs/2412.16154 |