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arXiv · 2505.03224

Analytic continuation of Kochubei multiple polylogarithms and its applications

Yen-Tsung Chen
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Abstract

In the present paper, we propose an analytic continuation of Kochubei multiple polylogarithms using the techniques developed by Furusho. Moreover, we produce a family of linear relations and a linear independence result for values of our analytically continued Kochubei polylogarithms at algebraic elements from a cohomological aspect.

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Yen-Tsung Chen. 2025-05-06. Analytic continuation of Kochubei multiple polylogarithms and its applications. https://doi.org/10.1007/s40687-025-00560-4

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