Work

Hilbert modular forms and class numbers

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2401.17913

Authors: Tan, Qinyun, Xie, Bingyong

Institution: East China Normal University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Science and Technology Commission of Shanghai Municipality, Fundamental Research Funds for the Central Universities

Awards: G1609915050, G7270659173, G8287579786

OpenAlex ID: W4391463026

Cites:

Cited by:

Related to: 10