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<p>Recently, various alternating multiple zeta values have been proposed and studied as variations of ordinary classical multiple zeta values and their general or modified forms. We consider alternating <i>t</i>-values as an application of alternating Stirling numbers, which are generalizations of the classical Stirling numbers. In this paper, we give several special values of an alternating <i>q</i>-multiple <i>t</i>-function of general level at roots of unity.</p>

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Some explicit forms of special values of an alternating q-multiple t-function of general level at roots of unity

  • 期刊论文

  • 发表日期：

    2025年7月18日

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  • Takao Komatsu,
  • Florian Luca

摘要

Recently, various alternating multiple zeta values have been proposed and studied as variations of ordinary classical multiple zeta values and their general or modified forms. We consider alternating t-values as an application of alternating Stirling numbers, which are generalizations of the classical Stirling numbers. In this paper, we give several special values of an alternating q-multiple t-function of general level at roots of unity.