Keywords and phrases: Pell equation, Pell-type equation, Gaussian prime, ring of Gaussian integers.
Received: February 4, 2021; Accepted: February 17, 2021; Published: March 26, 2021
How to cite this article: Javier Diaz-Vargas, Myriam Hernández-Ketchul and Carlos Jacob Rubio-Barrios, On the solutions of the pell-type equation in the ring of gaussian integers with r a gaussian prime, JP Journal of Algebra, Number Theory and Applications 50(1) (2021), 19-43. DOI: 10.17654/NT050010019
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] A. Hoque and K. Chakraborty, Pell-type equations and class number of the maximal real subfield of a cyclotomic field, Ramanujan J. 46(3) (2018), 727-742. [2] J. Neukirch, Algebraic Number Theory, Springer, 1999. [3] J.-A. Serret, ed., Oeuvres de Lagrange, I-XIV, Gauthiers-Villars, Paris, 1877.
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