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On the Resolution of Index Form Equations in Biquadratic Number-Fields

1995; Elsevier BV; Volume: 53; Issue: 1 Linguagem: Inglês

10.1006/jnth.1995.1080

1096-1658

István Gaál, A. Pethö, Michael Pohst,

Algebraic Geometry and Number Theory

Let m, n be distinct square-free rational integers and let K=Q(√m, √n). Combining Baker-type inequalities with a suitable version of the Baker-Davenport reduction method we give a computational algorithm for determining all elements with minimal index in such number fields.