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<p>Cyclotomic multiple zeta values are generalizations of multiple zeta values. In this paper, we establish sum formulas for various kinds of cyclotomic multiple zeta values. As an interesting application, we show that the ℚ-algebra generated by Riemann zeta values are contained in the ℚ-algebra generated by unit cyclotomic multiple zeta values of level <i>N</i> for any <i>N</i> ≥ 2.</p>

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Sum Formulas for Various Kinds of Cyclotomic Multiple Zeta Values

  • 期刊论文

  • 发表日期：

    2025年6月15日

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  • Jiangtao Li

摘要

Cyclotomic multiple zeta values are generalizations of multiple zeta values. In this paper, we establish sum formulas for various kinds of cyclotomic multiple zeta values. As an interesting application, we show that the ℚ-algebra generated by Riemann zeta values are contained in the ℚ-algebra generated by unit cyclotomic multiple zeta values of level N for any N ≥ 2.