The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909434197835776 |
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| author | Lin, Chen Tang, Chenhao Guo, Xuejun |
| author_facet | Lin, Chen Tang, Chenhao Guo, Xuejun |
| contents | We study the asymptotic estimation of prime ideals that satisfy certain congruence and argument conditions in imaginary quadratic fields. We also discuss the phenomenon of Chebyshev's bias in the distribution of prime ideals among different residue classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14792 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Lin, Chen Tang, Chenhao Guo, Xuejun Number Theory We study the asymptotic estimation of prime ideals that satisfy certain congruence and argument conditions in imaginary quadratic fields. We also discuss the phenomenon of Chebyshev's bias in the distribution of prime ideals among different residue classes. |
| title | The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias |
| topic | Number Theory |
| url | https://arxiv.org/abs/2412.14792 |