Notes on the multiplier systems of $η(τ)$ and $θ(τ)$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911309469057024 |
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| author | Matsuda, Kazuhide |
| author_facet | Matsuda, Kazuhide |
| contents | The multiplier systems of $η^{2k}(τ)$ and $θ^{2k}(τ)$ $(k\in\mathbb{Z})$ are characters. In this paper, we determine their kernels, Ker$\,ν_{η^{2k}}$ and Ker$\,ν_{ θ^{2k} } $. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08187 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Notes on the multiplier systems of $η(τ)$ and $θ(τ)$ Matsuda, Kazuhide Number Theory 14K25, 11E25 The multiplier systems of $η^{2k}(τ)$ and $θ^{2k}(τ)$ $(k\in\mathbb{Z})$ are characters. In this paper, we determine their kernels, Ker$\,ν_{η^{2k}}$ and Ker$\,ν_{ θ^{2k} } $. |
| title | Notes on the multiplier systems of $η(τ)$ and $θ(τ)$ |
| topic | Number Theory 14K25, 11E25 |
| url | https://arxiv.org/abs/2512.08187 |