نتایج جستجو برای: cubic equations

تعداد نتایج: 270521  

Journal: :Journal of the London Mathematical Society 1964

Journal: :Acta Arithmetica 1989

Journal: :Lietuvos matematikos rinkinys 2018

Journal: :Applied Mathematics Letters 1999

2009
AKINARI HOSHI

We give a correspondence between non-trivial solutions to a parametric family of cubic Thue equations X − mXY − (m + 3)XY 2 − Y 3 = k where k | m + 3m+ 9 and non-isomorphic simplest cubic fields. By applying R. Okazaki’s result for non-isomorphic simplest cubic fields, we obtain all solutions to the family of cubic Thue equations for k | m + 3m+ 9.

2013
Claude Levesque Michel Waldschmidt

To each non totally real cubic extension K of Q and to each generator α of the cubic field K, we attach a family of cubic Thue equations, indexed by the units of K, and we prove that this family of cubic Thue equations has only a finite number of integer solutions, by giving an effective upper bound for these solutions.

2008
AKINARI HOSHI

We give a correspondence between non-trivial solutions to a parametric family of cubic Thue equations X − mXY − (m + 3)XY 2 − Y 3 = k where k | m+3m+9 and isomorphic simplest cubic fields. By applying R. Okazaki’s result for isomorphic simplest cubic fields, we obtain all solutions to the family of cubic Thue equations for k | m + 3m + 9.

Journal: :Communications of the Korean Mathematical Society 2013

Journal: :Journal of Differential Equations 1998

Journal: :School Science and Mathematics 1915

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