Corpus ID: 119682374

# Binomial Thue equations and power integral bases in pure quartic fields

@article{Gaal2018BinomialTE,
title={Binomial Thue equations and power integral bases in pure quartic fields},
author={Istv'an Ga'al and L{\'a}szl{\'o} Remete},
journal={arXiv: Number Theory},
year={2018}
}
• Published 27 September 2018
• Mathematics
• arXiv: Number Theory
It is a classical problem in algebraic number theory to decide if a number field admits power integral bases and further to calculate all generators of power integral bases. This problem is especially delicate to consider in an infinite parametric family of number fields. In the present paper we investigate power integral bases in the infinite parametric family of pure quartic fields $K=Q(\sqrt[4]{m})$. We often pointed out close connection of various types of Thue equations with calculating… Expand
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