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New Hoffman-type generators for alternating multiple zeta values
Abstract
We introduce multiple s values and prove that every alternating multiple zeta value is a ℚ-linear combination of multiple s values s(k1, …, kr) with ki ∈ {1, 2}. We also study when certain multiple s values can be expressed as ℚ-linear combinations of multiple zeta values.
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BibTeX
@misc{machida2026hoffmantype,
title = {{New Hoffman-type generators for alternating multiple zeta values}},
author = {Wataru Machida},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11521},
eprint = {2610.11521},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11521},
}
RIS
TY - UNPB
TI - New Hoffman-type generators for alternating multiple zeta values
AU - Wataru Machida
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.11521
UR - https://arxiv.org/abs/2610.11521
AB - We introduce multiple s values and prove that every alternating multiple zeta value is a ℚ-linear combination of multiple s values s(k_1, …, k_r) with k_i ∈ {1, 2}. We also study when certain multiple s values can be expressed as ℚ-linear combinations of multiple zeta values.
ER -