Resumen de All solutions to Thomas¿ family of Thue equations over imaginary quadratic number fields

Clemens Heuberger

• We completely solve the family of relative Thue equations where the parameter t, the root of unity µ and the solutions x and y are integers in the same imaginary quadratic number field. This is achieved using the hypergeometric method for |t|=53 and Baker¿s method combined with a computer search using continued fractions for the remaining values of t.

  x3-(t-1)x2y-(t+2)xy2-y3=µ,