Optimal systems of fundamental S-units for LLL-reduction
نویسنده
چکیده
We show that a particular parameter plays a vital role in the resolution of S-unit equations, at the stage where LLL-reduction is applied. We define the notion of optimal system of fundamental S-units (with respect to this parameter), and prove that such a system exists and can be effectively constructed. Applying our results and methods, one can obtain much better bounds for the solutions of S-unit equations after the reduction step, than earlier. We briefly also discuss some effects of our results on the method of Wildanger and Smart for the resolution of S-unit equations .
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ورودعنوان ژورنال:
- Periodica Mathematica Hungarica
دوره 59 شماره
صفحات -
تاریخ انتشار 2009