Discrete iterated integrals and cyclic sum formulas
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910423958159360 |
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| author | Kawamura, Hanamichi |
| author_facet | Kawamura, Hanamichi |
| contents | In this paper, we consider a discrete version of iterated integrals by the naive (equally divided) Riemann sum. In particular, basic three formulas for usual iterated integrals are discritized. Moreover, we proved cyclic sum formulas for discrete iterated integrals. They imply the cyclic sum formula for multiple polylogarithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16161 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discrete iterated integrals and cyclic sum formulas Kawamura, Hanamichi Number Theory 11M32 In this paper, we consider a discrete version of iterated integrals by the naive (equally divided) Riemann sum. In particular, basic three formulas for usual iterated integrals are discritized. Moreover, we proved cyclic sum formulas for discrete iterated integrals. They imply the cyclic sum formula for multiple polylogarithms. |
| title | Discrete iterated integrals and cyclic sum formulas |
| topic | Number Theory 11M32 |
| url | https://arxiv.org/abs/2404.16161 |