On the cubic Pell equation over finite fields

Published in: Quaestiones Mathematicae
Volume 46 , issue 10 , 2023 , pages: 2109–2128

DOI: 10.2989/16073606.2022.2144531

Author(s): Simone Dutto , Italy , Nadir Murru Università degli Studi di Trento, Italy

Keywords: Primary: 11D25 , Secondary: 11A07 , Cubic Pell equation , Pell equation , finite fields

The classical Pell equation can be extended to the cubic case considering the elements of norm one in , which satisfy

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