On sums which are powers

K. Gyarmati, A. Sárközy, C. L. Stewart

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The cardinality of sets A is estimated under the conditions that every element of the sum set A + A is a power resp. powerful number (n is said to be powerful if p | n implies p2 | n). Subset sums with these properties are also studied.

Original languageEnglish
Pages (from-to)1-24
Number of pages24
JournalActa Mathematica Hungarica
Volume99
Issue number1-2
DOIs
Publication statusPublished - Apr 1 2003

Keywords

  • Gallagher sieve
  • Linnik's constant
  • Power
  • Powerful
  • Sequences

ASJC Scopus subject areas

  • Mathematics(all)

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