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Two Companion qq-Series Identities and Their Combinatorics

Haijun Li, Chenwei Wang

Source record

Source: arXiv

Published: Oct 14, 2026

arXiv: 2610.19956

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Source abstract

In this paper, we evaluate two companion qq-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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Two Companion $q$-Series Identities and Their Combinatorics — Mathematical Frontier Network