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Two Companion q-Series Identities and Their Combinatorics
Abstract
In this paper, we evaluate two companion q-series recently suggested for investigation by Andrews and El Bachraoui in the concluding remarks of their work. From these evaluations, we derive the corresponding partition identities and give combinatorial proofs.
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BibTeX
@misc{li2026companion,
title = {{Two Companion $q$-Series Identities and Their Combinatorics}},
author = {Haijun Li and Chenwei Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19956},
eprint = {2610.19956},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19956},
}
RIS
TY - UNPB
TI - Two Companion q-Series Identities and Their Combinatorics
AU - Haijun Li
AU - Chenwei Wang
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.19956
UR - https://arxiv.org/abs/2610.19956
AB - In this paper, we evaluate two companion q-series recently suggested for investigation by Andrews and El Bachraoui in the concluding remarks of their work. From these evaluations, we derive the corresponding partition identities and give combinatorial proofs.
ER -