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arXiv · 2401.17913

Hilbert modular forms and class numbers

Qinyun Tan·Bingyong Xie
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Abstract

In 1975, Goldfeld gave an effective solution to Gauss's conjecture on the class numbers of imaginary quadratic fields. In this paper, we generalize Goldfeld's theorem to the setting of totally real number fields.

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Qinyun Tan, Bingyong Xie. 2024-01-31. Hilbert modular forms and class numbers. https://arxiv.org/abs/2401.17913

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