JP Journal of Algebra, Number Theory and Applications
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Abstract: We
find the number of solutions of norm-form equations for positive non-square integers D,
which are less than a certain bound related to Pell’s equationsand
based upon the ambiguous classes of solutions to the norm-form. This generalizes
recent results in the literature.
Keywords and phrases: Pell’s equation, norm-form equations, quadratic extensions, classes of solutions.
