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Hilbert modular forms and class numbers

2024/01/31 by Qinyun Tan, Tan, Qinyun, Bing Xie +1
Mathematics · #Analytic Number Theory Research #Advanced Algebra and Geometry #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2401.17913

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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