Totally real Thue inequalities over imaginary quadratic fields: an improvement
Istv\'an Ga\'al, Borka Jadrijevic, L\'aszl\'o Remete
TL;DR
This paper improves previous results on Thue inequalities over imaginary quadratic fields by reducing relative inequalities to absolute ones, enhancing the understanding of these algebraic number theory problems.
Contribution
It introduces a significant improvement by converting relative Thue inequalities into absolute ones over imaginary quadratic fields.
Findings
Reduced the complexity of Thue inequalities from relative to absolute form
Extended the applicability of previous results in algebraic number theory
Provided a more general framework for solving Thue inequalities
Abstract
We significantly improve our results of Glas. Mat., III. Ser. 53(2018), No. 2, 229-238, reducing relative Thue inequalities to absolute ones.
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