Multivariable connected sums and multiple polylogarithms
Number Theory
2021-10-28 v2
Abstract
We introduce the multivariable connected sum which is a generalization of Seki-Yamamoto's connected sum and prove the fundamental identity for these sums by series manipulation. This identity yields explicit procedures for evaluating multivariable connected sums and for giving relations among special values of multiple polylogarithms. In particular, our class of relations contains Ohno's relations for multiple polylogarithms.
Cite
@article{arxiv.2103.05492,
title = {Multivariable connected sums and multiple polylogarithms},
author = {Hanamichi Kawamura and Takumi Maesaka and Shin-ichiro Seki},
journal= {arXiv preprint arXiv:2103.05492},
year = {2021}
}
Comments
27 pages, to appear in Research in the Mathematical Sciences