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<p>In the present paper, we propose an analytic continuation of Kochubei multiple polylogarithms by using the techniques developed in Furusho (Tunis J Math 4–3:559–58, 2022). 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.</p>

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Analytic continuation of Kochubei multiple polylogarithms and its applications

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月11日

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  • Yen-Tsung Chen

摘要

In the present paper, we propose an analytic continuation of Kochubei multiple polylogarithms by using the techniques developed in Furusho (Tunis J Math 4–3:559–58, 2022). 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.