关于Nielsen多对数的函数方程

IF 1.2 3区数学 Q1 MATHEMATICS Communications in Number Theory and Physics Pub Date : 2019-08-13 DOI:10.4310/cntp.2021.v15.n2.a4

Steven Charlton, H. Gangl, D. Radchenko

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引用次数: 8

摘要

我们导出了Nielsen多对数的新的函数方程。我们表明，当以模$\mathrm查看时{Li}_5$和较低权重函数的乘积，权重$5$Nielsen多对数$S{3,2}$满足二对数五项关系。我们还给出了权重高达8的Nielsen多对数和权重更高的恒等式的一般族的一些函数方程和评价。

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On functional equations for Nielsen polylogarithms

We derive new functional equations for Nielsen polylogarithms. We show that, when viewed modulo $\mathrm{Li}_5$ and products of lower weight functions, the weight $5$ Nielsen polylogarithm $S_{3,2}$ satisfies the dilogarithm five-term relation. We also give some functional equations and evaluations for Nielsen polylogarithms in weights up to 8, and general families of identities in higher weight.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.

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