On some arithmetical properties of solutions of decomposable form equations

Graham Everest, Kalman Györy

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)27-40
Number of pages14
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume139
Issue number1
DOIs
Publication statusPublished - Jul 1 2005

ASJC Scopus subject areas

  • Mathematics(all)

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