A functional equation for multiple zeta functions and generalized confluent hypergeometric functions
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909843294519296 |
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| author | Yokoi, Anju |
| author_facet | Yokoi, Anju |
| contents | In this paper, we introduce a new function, the multiple confluent hypergeometric functions, and establish a functional equation for the $r$-variable Euler--Zagier multiple zeta functions using it. In the case when $r=2$, this functional equation includes the well-known functional equation for the Euler--Zagier double zeta functions obtained by Matsumoto. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04444 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A functional equation for multiple zeta functions and generalized confluent hypergeometric functions Yokoi, Anju Number Theory In this paper, we introduce a new function, the multiple confluent hypergeometric functions, and establish a functional equation for the $r$-variable Euler--Zagier multiple zeta functions using it. In the case when $r=2$, this functional equation includes the well-known functional equation for the Euler--Zagier double zeta functions obtained by Matsumoto. |
| title | A functional equation for multiple zeta functions and generalized confluent hypergeometric functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.04444 |