Meromorphic continuation of a q-analogue of multiple zeta function
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917239333060608 |
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| author | Tamang, Nita Sarkar, Pitu |
| author_facet | Tamang, Nita Sarkar, Pitu |
| contents | In this paper, we obtain the meromorphic continuation of a q-analogue of multiple zeta function using an elementary formula called translation formula. We then obtain the matrix representation of the translation formula and using it, we locate the poles of the function and the corresponding residues. While locating the poles, we also obtain an inverse of an infinite triangular matrix in a particular case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01052 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Meromorphic continuation of a q-analogue of multiple zeta function Tamang, Nita Sarkar, Pitu Number Theory 11M32 In this paper, we obtain the meromorphic continuation of a q-analogue of multiple zeta function using an elementary formula called translation formula. We then obtain the matrix representation of the translation formula and using it, we locate the poles of the function and the corresponding residues. While locating the poles, we also obtain an inverse of an infinite triangular matrix in a particular case. |
| title | Meromorphic continuation of a q-analogue of multiple zeta function |
| topic | Number Theory 11M32 |
| url | https://arxiv.org/abs/2602.01052 |