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Pro-unipotent harmonic actions and dynamical properties of p-adic cyclotomic multiple zeta values
Algebra & Number Theory ( IF 1.3 ) Pub Date : 2020-08-18 , DOI: 10.2140/ant.2020.14.1711
David Jarossay

$p$-adic cyclotomic multiple zeta values depend on the choice of a number of iterations of the crystalline Frobenius of the pro-unipotent fundamental groupoid of $\mathbb{P}^{1} - \{0,\mu_{N},\infty\}$. In this paper we study how the iterated Frobenius depends on the number of iterations, in relation with the computation of $p$-adic cyclotomic multiple zeta values in terms of cyclotomic multiple harmonic sums. This provides new results on that computation and the definition of a new pro-unipotent harmonic action.

中文翻译:

p-adic 圆切多 zeta 值的亲单能谐波作用和动力学特性

$p$-adic 圆切多 zeta 值取决于 $\mathbb{P}^{1} - \{0,\mu_{N} 的亲单能基本群状体的结晶 Frobenius 的迭代次数的选择,\infty\}$。在本文中,我们研究了迭代 Frobenius 如何依赖于迭代次数,这与 $p$-adic Cyclotomic 多次 zeta 值的计算有关。这提供了关于该计算的新结果以及新的亲单能谐波作用的定义。
更新日期:2020-08-18
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