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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.18320 |
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| _version_ | 1866911121416388608 |
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| author | Yalkinoglu, Bora |
| author_facet | Yalkinoglu, Bora |
| contents | We formulate Shintani's invariant in terms of the cyclic quantum dilogarithm. Building on earlier results that expressed Shintani's invariant using the $q$-Pochhammer symbol, we show how the cyclic quantum dilogarithm naturally arises in this context, providing new perspectives on the arithmetic significance of Shintani's construction. The present note is an announcement; a full account with complete proofs will appear in a forthcoming paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18320 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shintani's invariant via cyclic quantum dilogarithm Yalkinoglu, Bora Number Theory We formulate Shintani's invariant in terms of the cyclic quantum dilogarithm. Building on earlier results that expressed Shintani's invariant using the $q$-Pochhammer symbol, we show how the cyclic quantum dilogarithm naturally arises in this context, providing new perspectives on the arithmetic significance of Shintani's construction. The present note is an announcement; a full account with complete proofs will appear in a forthcoming paper. |
| title | Shintani's invariant via cyclic quantum dilogarithm |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.18320 |