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ヒョウドウ フミタケ
Fumitake Hyodo
兵藤 史武 所属 川崎医療福祉大学 医療福祉マネジメント学部 医療データサイエンス学科 職種 講師 |
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| 論文種別 | 原著 |
| 言語種別 | 英語 |
| 査読の有無 | 査読あり |
| 表題 | Global properties of a Hecke ring associated with the Heisenberg Lie algebra |
| 掲載誌名 | 正式名：Osaka Journal of Mathematics 略 称：Osaka J. Math. |
| 掲載区分 | 国内 |
| 巻・号・頁 | to appear |
| 著者・共著者 | Fumitake Hyodo |
| 担当区分 | 筆頭著者 |
| 発行年月 | 2025 |
| 概要 | 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 the Heisenberg Lie algebra, an analog of the identity for Shimura's series derived employing the rationality theorem, presented by Hecke and Tamagawa, is established. Moreover, this analog recovers the explicit formula for the pro-isomorphic zeta function of the Heisenberg Lie algebra shown by Grunewald, Segal and Smith. |
| arXiv ID | 2110.01768 |