Laurent type expansion of multiple polylogarithms at integer points
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911396806000640 |
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| author | Mehta, Pawan Singh Saha, Biswajyoti |
| author_facet | Mehta, Pawan Singh Saha, Biswajyoti |
| contents | In this article, we study the local behaviour of the multiple polylogarithm functions at integer points, in the $s$-aspect. This is done by writing a Laurent type expansion at integer points, involving certain power series and rational functions. The coefficients of these power series are the regularised values of the multiple polylogarithm functions at certain related integer points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17539 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Laurent type expansion of multiple polylogarithms at integer points Mehta, Pawan Singh Saha, Biswajyoti Number Theory In this article, we study the local behaviour of the multiple polylogarithm functions at integer points, in the $s$-aspect. This is done by writing a Laurent type expansion at integer points, involving certain power series and rational functions. The coefficients of these power series are the regularised values of the multiple polylogarithm functions at certain related integer points. |
| title | Laurent type expansion of multiple polylogarithms at integer points |
| topic | Number Theory |
| url | https://arxiv.org/abs/2601.17539 |