Irreducibility of truncations of the Catalan generating function

Shin-ichiro Seki

Source record

Source: arXiv

Published: Sep 9, 2026

arXiv: 2609.10526

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Source abstract

We prove that, for every positive integer $n$ , the polynomial $C_0+C_1x+\cdots+C_nx^n$ is irreducible over $\mathbb{Q}$ , where $C_k$ denotes the $k$ th Catalan number.

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