PreprintarXiv licencearXiv
Cyclotomy of symmetric polynomials
Abstract
We prove some new identities for homogeneous symmetric polynomials when evaluated at roots of unity. Some of these formulas are applied to obtain new insights onto cyclotomic polynomials.
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BibTeX
@misc{carli2026cyclotomy,
title = {{Cyclotomy of symmetric polynomials}},
author = {Laura De Carli and Maurizio Laporta},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.09232},
eprint = {2609.09232},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09232},
}
RIS
TY - UNPB
TI - Cyclotomy of symmetric polynomials
AU - Laura De Carli
AU - Maurizio Laporta
PY - 2026
DA - 2026/10/10
PB - arXiv
DO - 10.48550/arxiv.2609.09232
UR - https://arxiv.org/abs/2609.09232
AB - We prove some new identities for homogeneous symmetric polynomials when evaluated at roots of unity. Some of these formulas are applied to obtain new insights onto cyclotomic polynomials.
ER -