Analogue of the theta group $Γ_θ,$ II
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915869651632128 |
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| author | Matsuda, Kazuhide |
| author_facet | Matsuda, Kazuhide |
| contents | In this series of papers, we introduce higher level versions of the theta group $Γ_θ.$ In this paper, we treat the theta group of level $5$, $Γ_{θ,5},$ and construct modular forms on $Γ_{θ,5}$. Moreover we compute their multiplier systems. For this purpose, we derive transformation formula of theta function with characteristics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16109 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analogue of the theta group $Γ_θ,$ II Matsuda, Kazuhide Number Theory 14K25, 11E25 In this series of papers, we introduce higher level versions of the theta group $Γ_θ.$ In this paper, we treat the theta group of level $5$, $Γ_{θ,5},$ and construct modular forms on $Γ_{θ,5}$. Moreover we compute their multiplier systems. For this purpose, we derive transformation formula of theta function with characteristics. |
| title | Analogue of the theta group $Γ_θ,$ II |
| topic | Number Theory 14K25, 11E25 |
| url | https://arxiv.org/abs/2603.16109 |