PreprintCC BY 4.0arXiv
Weighted sum formulas for finite multiple mixed values
Abstract
In this paper, we employ the iterated integral expression of multiple polylogarithms to establish a weighted sum formula for finite multiple mixed values. As applications, we derive a one-parameter weighted sum formula for finite multiple T-values of arbitrary even depth, as well as several relations for depth-two, height-zero and height-one finite multiple mixed values.
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BibTeX
@misc{li2026weighted,
title = {{Weighted sum formulas for finite multiple mixed values}},
author = {Zhonghua Li and Zhenlu Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.21978},
eprint = {2606.21978},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.21978},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Weighted sum formulas for finite multiple mixed values
AU - Zhonghua Li
AU - Zhenlu Wang
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2606.21978
UR - https://arxiv.org/abs/2606.21978
AB - In this paper, we employ the iterated integral expression of multiple polylogarithms to establish a weighted sum formula for finite multiple mixed values. As applications, we derive a one-parameter weighted sum formula for finite multiple T-values of arbitrary even depth, as well as several relations for depth-two, height-zero and height-one finite multiple mixed values.
ER -