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arXiv math/0008089math.KTmath.NT
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关于Poly(ana)logs I

On Poly(ana)logs I

Philippe Elbaz-Vincent, Herbert Gangl, Maxim Kontsevich

摘要:

我们调查之间的连接微分polyacrums(考虑由Cathelineau)和有限的变种。这允许回答一个问题所提出的Kontsevich关于建设的函数方程的有限类似物,部分使用的p-进版本的多面体和最近的工作贝瑟。孔采维奇未发表的原始笔记(经他的许可)在论文末尾的“附录”中提供。

英文摘要:

We investigate a connection between the differential of polylogarithms (as considered by Cathelineau) and a finite variant of them. This allows to answer a question raised by Kontsevich concerning the construction of functional equations for the finite analogs, using in part the p-adic version of polylogarithms and recent work of Besser. Kontsevich's original unpublished note is supplied (with his kind permission) in an "Appendix" at the end of the paper.

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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