Work

Irreducibility of truncations of the Catalan generating function

Year: 2026
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W7212161429
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Related to: 10