Some remarks on the order structures of multi-polylogarithms

Fuente: arXiv
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Autor principal: Kamano, Ken
Formato: Preprint
Publicado: 2024
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author Kamano, Ken
author_facet Kamano, Ken
contents We consider multi-polylogarithm functions which are slightly different from the ordinary ones. These functions have two integral representations and an order structure similar to those of multiple zeta star values. We also give a necessary and sufficient condition for the set of values of our multi-polylogarithm functions to be a dense set.
format Preprint
id arxiv_https___arxiv_org_abs_2406_10604
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Some remarks on the order structures of multi-polylogarithms
Kamano, Ken
Number Theory
We consider multi-polylogarithm functions which are slightly different from the ordinary ones. These functions have two integral representations and an order structure similar to those of multiple zeta star values. We also give a necessary and sufficient condition for the set of values of our multi-polylogarithm functions to be a dense set.
title Some remarks on the order structures of multi-polylogarithms
topic Number Theory
url https://arxiv.org/abs/2406.10604