全局函数域上的多个ζ函数和多对数

IF 0.3 4区数学 Q4 MATHEMATICS

Journal De Theorie Des Nombres De Bordeaux Pub Date : 2020-10-29 DOI:10.5802/jtnb.1128

Debmalya Basak, Nicolas Degré-Pelletier, M. Lalín

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引用次数: 0

摘要

在[Ta04]中，Thakur定义了经典多重ζ函数的函数场类似物，即ζd（Fq[T]；s1，…，sd）和ζd（K；s1，..，sd），其中K是全局函数场。Masri[Mas06]进一步研究了这些函数的星形版本。我们证明了这些星形函数的归约公式，将构造扩展到多个多对数的函数场类似物，并展示了一些多个ζ值的公式。

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Multiple zeta functions and polylogarithms over global function fields

. In [Tha04] Thakur deﬁnes function ﬁeld analogs of the classical multiple zeta function, namely, ζ d ( F q [ T ]; s 1 ,...,s d ) and ζ d ( K ; s 1 ,...,s d ), where K is a global function ﬁeld. Star versions of these functions were further studied by Masri [Mas06]. We prove reduction formulas for these star functions, extend the construction to function ﬁeld analogs of multiple polylogarithms, and exhibit some formulas for multiple zeta values.

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来源期刊

Journal De Theorie Des Nombres De Bordeaux MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： The Journal de Théorie des Nombres de Bordeaux publishes original papers on number theory and related topics (not published elsewhere).