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On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields
Authors:Akinari Hoshi
Affiliation:Department of Mathematics, Rikkyo University, 3-34-1 Nishi-Ikebukuro Toshima-ku, Tokyo 171-8501, Japan
Abstract:Let m?−1 be an integer. We give a correspondence between integer solutions to the parametric family of cubic Thue equations
X3mX2Y−(m+3)XY2Y3=λ
Keywords:primary   11D25   11D59   11R16   12E25
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