Composition of Binary Quadratic Forms over Number Fields
Number Theory
2023-07-18 v3
Abstract
In this article, the standard correspondence between the ideal class group of a quadratic number field and the equivalence classes of binary quadratic forms of given discriminant is generalized to any base number field of narrow class number one. The article contains an explicit description of the correspondence. In the case of totally negative discriminants, equivalent conditions are given for a binary quadratic form to be totally positive definite.
Cite
@article{arxiv.1712.00741,
title = {Composition of Binary Quadratic Forms over Number Fields},
author = {Kristýna Zemková},
journal= {arXiv preprint arXiv:1712.00741},
year = {2023}
}
Comments
16 pages, an error in the previous version is pointed out