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Fumitake Hyodo
Department Kawasaki University of Medical Welfare , Position Assistant Professor |
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| Article types | 原著 |
| Language | English |
| Peer review | Non peer reviewed |
| Title | Global properties of a Hecke ring associated with the Heisenberg Lie algebra |
| Journal | Formal name：arXiv |
| Domestic / Foregin | Foregin |
| Total page number | 11 |
| Author and coauthor | Fumitake Hyodo |
| Authorship | Lead author |
| Publication date | 2022/09 |
| Summary | This study concerns (not necessarily commutative) Hecke rings associated with certain algebras and describes a formal Dirichlet series with coefficients in the Hecke rings, which can be used to generalize Shimura's series. Considering the case of Heisenberg Lie algebra, an analog of the identity for Shimura's series derived employing the rationality theorem, presented by Hecke and Tamagawa, is established. |
| DOI | https://doi.org/10.48550/arXiv.2110.01768 |
| arXiv ID | arXiv:2110.01768 |