Köhler's Conjecture on Hecke Theta Series of Weight One
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914243256778752 |
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| author | Kumar, Mahima Wiese, Gabor |
| author_facet | Kumar, Mahima Wiese, Gabor |
| contents | In this article, we prove a conjecture of Günter Köhler on the ambiguity of the quadratic field in the definition of Hecke theta series by deriving it from a similar statement on two-dimensional Galois representations induced from characters of quadratic fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05708 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Köhler's Conjecture on Hecke Theta Series of Weight One Kumar, Mahima Wiese, Gabor Number Theory 11F80, 11F11, 11R37 In this article, we prove a conjecture of Günter Köhler on the ambiguity of the quadratic field in the definition of Hecke theta series by deriving it from a similar statement on two-dimensional Galois representations induced from characters of quadratic fields. |
| title | Köhler's Conjecture on Hecke Theta Series of Weight One |
| topic | Number Theory 11F80, 11F11, 11R37 |
| url | https://arxiv.org/abs/2601.05708 |