JP Journal of Algebra, Number Theory and Applications
Volume 16, Issue 2, Pages 153 - 159
(March 2010)
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A NOTE ON RESIDUACITY AND CRITERIA FOR PRIME REPRESENTATION
Richard A. Mollin and Anitha Srinivasan
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Abstract: We provide a new criterion for the fundamental unit, having norm �1, of a real quadratic order to be a quadratic residue modulo a given prime p and relate it to results in the literature that are more easily obtained with our approach. |
Keywords and phrases: Pell�s equation, real quadratic fields, continued fractions. |
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