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arXiv · 2507.03813

Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum

Ivan Hadinata
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Abstract

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.

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Ivan Hadinata. 2025-07-04. Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum. https://doi.org/10.18860/cauchy.v11i2.42495

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