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<p>Hirose, Murahara, and Saito proved that some <i>t</i>-adic symmetric multiple zeta values, for indices in which 1 and 3 appear alternately, can be expressed as polynomials in Riemann zeta values, and conjectured similar formulas. In this paper, we prove the conjectured formula for indices that start with 1 and end with 3, showing that they can also be expressed as polynomials in Riemann zeta values.</p>

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t-adic symmetric multiple zeta values for indices with alternating 1 and 3, starting with 1 and ending with 3

  • 期刊论文

  • 发表日期：

    2025年11月20日

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  • Kento Fujita

摘要

Hirose, Murahara, and Saito proved that some t-adic symmetric multiple zeta values, for indices in which 1 and 3 appear alternately, can be expressed as polynomials in Riemann zeta values, and conjectured similar formulas. In this paper, we prove the conjectured formula for indices that start with 1 and end with 3, showing that they can also be expressed as polynomials in Riemann zeta values.