Cubic residuacity of real quadratic integers
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911268246388736 |
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| author | Evans, Ron Van Veen, Mark |
| author_facet | Evans, Ron Van Veen, Mark |
| contents | Given a real quadratic integer $u=A+B\sqrt{D}$ with cubic norm, we identify all the classes in a related form class group that represent primes $p$ for which $u$ is a cubic residue mod $p$. A special case of this result was conjectured in a 2025 paper of Evans, Lemmermeyer, Sun, and Van Veen. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12513 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cubic residuacity of real quadratic integers Evans, Ron Van Veen, Mark Number Theory 11A15, 11E16, 11R29 Given a real quadratic integer $u=A+B\sqrt{D}$ with cubic norm, we identify all the classes in a related form class group that represent primes $p$ for which $u$ is a cubic residue mod $p$. A special case of this result was conjectured in a 2025 paper of Evans, Lemmermeyer, Sun, and Van Veen. |
| title | Cubic residuacity of real quadratic integers |
| topic | Number Theory 11A15, 11E16, 11R29 |
| url | https://arxiv.org/abs/2511.12513 |