Neighboring powers

F. Beukers, C. L. Stewart

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

In this article we discuss how close different powers of integers can be to each other. In addition we study pairs of powers of polynomials with rational coefficients which have differences of small positive degree.
Original languageEnglish
Pages (from-to)660-679
Number of pages20
JournalJournal of Number Theory
Volume130
Issue number3
DOIs
Publication statusPublished - 2010

Keywords

  • Hall's conjecture
  • Davenport pairs
  • Close powers

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