Abstract
One of the theorems of Bengt Stolt’s article “On the Diophantine Equationu 2−Dv 2=4N” is not quite correct in its entirety. A counter-example will be given to show this. A modification of the theorem which he was trying to prove will be given for certain special cases.
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References
Stolt, B., On the diophantine equationu 2—Dv 2=±4N, Part III,Ark. Mat., 3 (1954), 117–132.
Hancock,Foundations of the Theory of Algebraic Numbers, Vol. I, New York, 1931.
Riordan,An Introduction to Combinatorial Analysis, New York, New York, 1958, page 41.
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Heichelheim, P. Some remarks on Stolt’s Theorems for Pellian Equations. Ark. Mat. 12, 167–171 (1974). https://doi.org/10.1007/BF02384753
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DOI: https://doi.org/10.1007/BF02384753