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arXiv 2209.13293math.NT
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与着色有根树相关的迭代积分

Iterated integrals associated with colored rooted trees

Hanamichi Kawamura

摘要:

本文引入了与着色有根树相关的迭代积分,并证明了$\boldsymbol{p}$ -adic有限和$t$ -adic对称多项式的混洗关系.该方法推广了Ono提出的$2$着色有根树的有限重zeta值理论。

英文摘要:

In this paper, we introduce iterated integrals associated with colored rooted trees and give proofs for the shuffle relations for $\boldsymbol{p}$-adic finite and $t$-adic symmetric polylogarithms. This method generalizes the theory of the finite multiple zeta values associated with $2$-colored rooted trees introduced by Ono.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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