Bounded Additive Relation and Application to Finite Multiple Zeta Values
Number Theory
2026-03-17 v1
Abstract
We formulate an algebraic problem to find a generating system of a finite subset of an Abelian group with respect to linear relations whose coefficients are bounded by a constant, and recall MITM algorithm for the problem. As an application of MITM algorithm for the Abelian group \begin{eqnarray*} \mathbb{Z}/106700590455862347842907841856033238416352421 \mathbb{Z} \end{eqnarray*} combined with Chinese remainder algorithm, we give a table of expected linear relations of finite multiple zeta values of weight .
Cite
@article{arxiv.2603.14842,
title = {Bounded Additive Relation and Application to Finite Multiple Zeta Values},
author = {Tomoki Mihara},
journal= {arXiv preprint arXiv:2603.14842},
year = {2026}
}