3 papers
math.NT2019
Composition of Bhargava's Cubes over Number Fields
Kristýna Zemková
In this paper, the composition of Bhargava's cubes is generalized to the ring of integers of a number field of narrow class number one, excluding the case of totally imaginary numb…
math.NT2018
Universal Quadratic Forms and Indecomposables over Biquadratic Fields
Martin Čech, Dominik Lachman, Josef Svoboda +2
The aim of this article is to study (additively) indecomposable algebraic integers of biquadratic number fields and universal totally positive quadratic forms wi…
math.NT2017
Composition of Binary Quadratic Forms over Number Fields
Kristýna Zemková
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 i…