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arXiv · 2409.16330

On certain $q$-multiple sums

Aung Phone Maw
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Abstract

We present outlines of a general method to reach certain kinds of $q$-multiple sum identities. Throughout our exposition, we shall give generalizations to the results given by Dilcher, Prodinger, Fu and Lascoux, Zeng, and Guo and Zhang concerning $q$-series identities related to divisor functions. Our exposition shall also provide a generalization of the duality relation for finite multiple harmonic $q$-series given by Bradley. Utilizing these generalizations, we will also arrive at some new interesting classes of $q$-multiple sums.

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Aung Phone Maw. 2025-06-06. On certain $q$-multiple sums. https://arxiv.org/abs/2409.16330

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