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arXiv · 2412.14792

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias

Chen Lin·Chenhao Tang·Xuejun Guo
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Abstract

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.

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Chen Lin, Chenhao Tang, Xuejun Guo. 2024-12-19. The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias. https://arxiv.org/abs/2412.14792

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