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Bounds for the size of integral solutions to Ym = f(X)
Published online by Cambridge University Press: 20 January 2009
Extract
Let K be an algebraic number field with ring of integers OK and f(X) ∈ OK[X]. In this paper we establish improved explicit upper bounds for the size of solutions in OK, of diophantine equations Y2 = f(X), where f(X) has at least three roots of odd order, and Ym = f(X), where m is an integer ≥ 3 and f(X) has at least two roots of order prime to m.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 1 , February 1999 , pp. 127 - 141
- Copyright
- Copyright © Edinburgh Mathematical Society 1999
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