Exponential triples

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Using ultrafilter techniques we show that in any partition of N into 2 cells there is one cell containing infinitely many exponential triples, i.e. triples of the kind a, b, ab (with a, b > 1). Also, we will show that any multiplicative IP*set is an "exponential IP set", the analogue of an IP set with respect to exponentiation.

Original languageEnglish
JournalElectronic Journal of Combinatorics
Volume18
Issue number1
DOIs
Publication statusPublished - 15 Jul 2011

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics

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