Meromorphic continuation of a q-analogue of multiple zeta function

Nita Tamang; Pitu Sarkar

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arXiv · 2602.01052

Meromorphic continuation of a q-analogue of multiple zeta function

Nita Tamang·Pitu Sarkar

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Abstract

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.

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Nita Tamang, Pitu Sarkar. 2026-02-01. Meromorphic continuation of a q-analogue of multiple zeta function. https://arxiv.org/abs/2602.01052

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