Dedekind zeta functions of non-Galois torsion fields of elliptic curves
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866913020883501056 |
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| author | Pollack, Robert Weston, Tom |
| author_facet | Pollack, Robert Weston, Tom |
| contents | We give an algorithm to determine factorization types of primes in the number fields generated by a single point of odd order on an elliptic curve. We apply this to compute coefficients of the Dedekind zeta function of the field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08776 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dedekind zeta functions of non-Galois torsion fields of elliptic curves Pollack, Robert Weston, Tom Number Theory 11R42 We give an algorithm to determine factorization types of primes in the number fields generated by a single point of odd order on an elliptic curve. We apply this to compute coefficients of the Dedekind zeta function of the field. |
| title | Dedekind zeta functions of non-Galois torsion fields of elliptic curves |
| topic | Number Theory 11R42 |
| url | https://arxiv.org/abs/2604.08776 |