Bounded Additive Relation and Application to Finite Multiple Zeta Values
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912967679803392 |
|---|---|
| author | Mihara, Tomoki |
| author_facet | Mihara, Tomoki |
| contents | 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 $10$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14842 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bounded Additive Relation and Application to Finite Multiple Zeta Values Mihara, Tomoki Number Theory 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 $10$. |
| title | Bounded Additive Relation and Application to Finite Multiple Zeta Values |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.14842 |