Hilbert modular forms and class numbers

Fuente: arXiv
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Auteurs principaux: Tan, Qinyun, Xie, Bingyong
Format: Preprint
Publié: 2024
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author Tan, Qinyun
Xie, Bingyong
author_facet Tan, Qinyun
Xie, Bingyong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_17913
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hilbert modular forms and class numbers
Tan, Qinyun
Xie, Bingyong
Number Theory
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.
title Hilbert modular forms and class numbers
topic Number Theory
url https://arxiv.org/abs/2401.17913