Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916925658890240 |
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| author | Hadinata, Ivan |
| author_facet | Hadinata, Ivan |
| contents | In this paper, we present the existence and uniqueness property on a finite sum involving a polynomial and a homogeneous linear recurrence sequence. This finite sum is of the form $\sum_{k=1}^n P(k)s_{hk+r}$ where $n$ is a positive integer, $P(x)$ is a polynomial in $\mathbb C[x]$, $h$ and $r$ are some integers, and $(s_k)_{k\in\mathbb Z}$ is a homogeneous linear recurrence sequence of degree $m\geq 2$ with some constraints. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_03813 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum Hadinata, Ivan Number Theory 11B39, 11B83 In this paper, we present the existence and uniqueness property on a finite sum involving a polynomial and a homogeneous linear recurrence sequence. This finite sum is of the form $\sum_{k=1}^n P(k)s_{hk+r}$ where $n$ is a positive integer, $P(x)$ is a polynomial in $\mathbb C[x]$, $h$ and $r$ are some integers, and $(s_k)_{k\in\mathbb Z}$ is a homogeneous linear recurrence sequence of degree $m\geq 2$ with some constraints. |
| title | Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum |
| topic | Number Theory 11B39, 11B83 |
| url | https://arxiv.org/abs/2507.03813 |