Rooted tree maps for multiple $L$-values from a perspective of harmonic algebras
Number Theory
2022-11-01 v1
Abstract
In this paper, we show the image of rooted tree maps themselves forms a subspace of the kernel of the evaluation map of multiple -values. For its proof, we define the diamond product as a modified harmonic product and find its properties. We also show that -conjugate rooted tree maps are their antipodes.
Keywords
Cite
@article{arxiv.2210.16832,
title = {Rooted tree maps for multiple $L$-values from a perspective of harmonic algebras},
author = {Hideki Murahara and Tatsushi Tanaka and Noriko Wakabayashi},
journal= {arXiv preprint arXiv:2210.16832},
year = {2022}
}
Comments
18 pages