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On some arithmetical properties of solutions of decomposable form equations
Published online by Cambridge University Press: 22 June 2005
Abstract
We study some fine arithmetic properties of the components of solutions of a decomposable form equation. Lower growth rates for the greatest prime factor of a component are obtained for density 1 of the solutions. Also, high pure powers are shown to occur rarely. Computations illustrate the applicability of our results; for example, to the study of units in abelian group rings.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 1 , July 2005 , pp. 27 - 40
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- 2005 Cambridge Philosophical Society
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