The spin of prime ideals and level-raising of even Galois representations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912770609381376 |
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| author | Fischer, Marius Uttenthal, Peter Vang |
| author_facet | Fischer, Marius Uttenthal, Peter Vang |
| contents | By extending the notion of spin of prime ideals, we show that a short character sum conjecture implies that the set of primes raising the level of a certain even Galois representation has density 2/3, as conjectured by Ramakrishna in 1998. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14901 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The spin of prime ideals and level-raising of even Galois representations Fischer, Marius Uttenthal, Peter Vang Number Theory By extending the notion of spin of prime ideals, we show that a short character sum conjecture implies that the set of primes raising the level of a certain even Galois representation has density 2/3, as conjectured by Ramakrishna in 1998. |
| title | The spin of prime ideals and level-raising of even Galois representations |
| topic | Number Theory |
| url | https://arxiv.org/abs/2512.14901 |