On certain $q$-multiple sums
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915329488191488 |
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| author | Maw, Aung Phone |
| author_facet | Maw, Aung Phone |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16330 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On certain $q$-multiple sums Maw, Aung Phone Combinatorics Number Theory 11B65, 05A30 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. |
| title | On certain $q$-multiple sums |
| topic | Combinatorics Number Theory 11B65, 05A30 |
| url | https://arxiv.org/abs/2409.16330 |