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A NOTE ON THE MONOGENITY OF SOME TRINOMIALS OF TYPE $x^4+a x^2+b$
Keywords:
monogenity, power integral basis, trinomials, Thue equationsDOI:
https://doi.org/10.17654/0972555524016Abstract
Some former experiences lead us to investigate the number of inequivalent generators of power integral bases in certain number fields generated by a root of monogenic polynomials. The question is, whether there exist any other generator in addition to the root of the polynomial? We describe the results of our calculations in case of monogenic trinomials of type $x^4+a x^2+b$.
Received: February 26, 2024
Revised: April 6, 2024
Accepted: April 8, 2024
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