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Depth reductions for associators
Journal of Number Theory ( IF 0.6 ) Pub Date : 2020-12-01 , DOI: 10.1016/j.jnt.2020.04.019
David Jarossay

Abstract We prove that for any associator, two specific families of coefficients of the associator can be expressed in terms of coefficients of lower depth. Combining these results to our notions of adjoint p-adic multiple zeta values and multiple harmonic values, we obtain a new point of view on the question of relating p-adic and finite multiple zeta values, and a few other application to the study of p-adic multiple zeta values via explicit formulas.

中文翻译:

关联器的深度减少

摘要 我们证明,对于任何关联器,关联器的两个特定系数族都可以用较低深度的系数表示。将这些结果与我们的伴随 p-adic 多 zeta 值和多谐波值的概念相结合,我们获得了关于 p-adic 和有限多 zeta 值相关问题的新观点,以及在 p 研究中的一些其他应用-adic 通过显式公式获得多个 zeta 值。
更新日期:2020-12-01
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