JP Journal of Algebra, Number Theory and Applications
Volume 10, Issue 2, Pages 237 - 246
(April 2008)
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THE NUMBER OF BOUNDED SOLUTIONS OF NORM-FORM EQUATIONS VIA PELL EQUATIONS AND AMBIGUOUS CLASSES OF SOLUTIONS
R. A. Mollin (Canada)
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for positive non-square integers D,
which are less than a certain bound related to Pell’s equations
and
based upon the ambiguous classes of solutions to the norm-form. This generalizes
recent results in the literature.