The existence of infinitely many cubic fields with class group of exact 2-rank 1

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Manjul Bhargava, Arul Shankar, Artane Siad, Ashvin Swaminathan
DOI: 10.48550/arxiv.2602.06894
Cited by: 0

Abstract

We show that infinitely many cubic fields have class group of 2-rank 1.

Fields of Study & Subjects

Analytic Number Theory Research Advanced Algebra and Geometry Algebraic Geometry and Number Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 February 2026
Document type
Preprint