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Some Diophantine equations of the form
Authors:Walter Feit
Institution:Department of Mathematics, Yale University, Box 208283, New Haven, Connecticut 06520-8283
Abstract:Let $p = a^{2} + (2b)^{2}$ be a prime. It is shown that each of the two Diophantine equations $x^{2}-py^{2} =a$ or $4b$ has integral solutions.

Keywords:Quadratic field  prime
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