Laurent type expansion of multiple polylogarithms at integer points
Number Theory
2026-01-27 v1
Abstract
In this article, we study the local behaviour of the multiple polylogarithm functions at integer points, in the -aspect. This is done by writing a Laurent type expansion at integer points, involving certain power series and rational functions. The coefficients of these power series are the regularised values of the multiple polylogarithm functions at certain related integer points.
Keywords
Cite
@article{arxiv.2601.17539,
title = {Laurent type expansion of multiple polylogarithms at integer points},
author = {Pawan Singh Mehta and Biswajyoti Saha},
journal= {arXiv preprint arXiv:2601.17539},
year = {2026}
}