Work

Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields

Year: 2018

Type: preprint

Abstract: The families of simplest cubic, simplest quartic and simplest sextic fields and the related Thue equations are well known. The family of simplest cubic Thue equations was already studied in the relative case, over imaginary quadratic fields. In the present paper we give a similar extension of simplest quartic and simplest sextic Thue equations over imaginary quadratic fields. We explicitly give the solutions of these infinite parametric families of Thue equations over arbitrary imaginary quadratic fields.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1810.08411

Authors: Gaál, István, Jadrijević, Borka, Remete, László

Institutions: University of Debrecen, University of Split

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Hrvatska Zaklada za Znanost, Emberi Eroforrások Minisztériuma

Award: G8854761416