PreprintarXiv licencearXiv
Irreducibility of truncations of the Catalan generating function
Abstract
We prove that, for every positive integer n, the polynomial C0+C1x+⋯+Cnxn is irreducible over ℚ, where Ck denotes the kth Catalan number.
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BibTeX
@misc{seki2026irreducibility,
title = {{Irreducibility of truncations of the Catalan generating function}},
author = {Shin-ichiro Seki},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10526},
eprint = {2609.10526},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10526},
}
RIS
TY - UNPB
TI - Irreducibility of truncations of the Catalan generating function
AU - Shin-ichiro Seki
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.10526
UR - https://arxiv.org/abs/2609.10526
AB - We prove that, for every positive integer n, the polynomial C_0+C_1x+⋯+C_nx^n is irreducible over ℚ, where C_k denotes the kth Catalan number.
ER -