Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.12577 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912541351870464 |
|---|---|
| author | Ishii, Yoni Shinohara, Takeshi |
| author_facet | Ishii, Yoni Shinohara, Takeshi |
| contents | It is known that the values of multiple zeta functions (MZFs) at non-positive integers can be expressed by Bernoulli numbers. This paper gives explicit formulas for the values of MZFs and multiple zeta star functions (MZSFs) at non-positive integers using Stirling polynomials. We also study the following two points: a connection between MZFs and MZSFs at non-positive integers and a connection between reverse values and generalized Gregory coefficients studied by Matsusaka, Murahara, and Onozuka. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stirling polynomials and multiple zeta (star) functions at non-positive integers Ishii, Yoni Shinohara, Takeshi Number Theory It is known that the values of multiple zeta functions (MZFs) at non-positive integers can be expressed by Bernoulli numbers. This paper gives explicit formulas for the values of MZFs and multiple zeta star functions (MZSFs) at non-positive integers using Stirling polynomials. We also study the following two points: a connection between MZFs and MZSFs at non-positive integers and a connection between reverse values and generalized Gregory coefficients studied by Matsusaka, Murahara, and Onozuka. |
| title | Stirling polynomials and multiple zeta (star) functions at non-positive integers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.12577 |