The t-adic symmetric multiple zeta values were defined by Jarossay, which have been studied as a real analogue of the \({\varvec{p}}\)-adic finite multiple zeta values. In this paper, we consider the star analogues based on several regularization processes of multiple zeta-star values: harmonic regularization, shuffle regularization, and Kaneko–Yamamoto’s type regularization. We also present the cyclic sum formula for t-adic symmetric multiple zeta(-star) values, which is the counterpart of that for \({\varvec{p}}\)-adic finite multiple zeta(-star) values obtained by Kawasaki. The proof uses our new relationship that connects the cyclic sum formula for t-adic symmetric multiple zeta-star values and that for the multiple zeta-star values.

所述吨进制对称多的ζ值是通过Jarossay，这已经被研究作为一个真正的类似物定义\（{\ varvec {P}} \）进制有限多个ζ电值。在本文中，我们考虑基于多个zeta星值的几种正则化过程的恒星类似物：谐波正则化，混洗正则化和Kaneko-Yamamoto类型正则化。我们还给出了t -adic对称多重zeta（-star）值的循环和公式，该公式与\（{\ varvec {p}} \）-adic有限多重zeta（-star）值的循环求和公式相对应川崎 证明使用我们的新关系来连接t的循环和公式-adic对称的多个zeta-star值，以及多个zeta-star值的对称值。