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On Relatively Prime Sets

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Published/Copyright: August 31, 2009
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Integers
From the journal Volume 9 Issue 4

Abstract

Functions counting the number of subsets of {1, 2, . . . , n} having particular properties are defined by Nathanson. Here, generalizations in two directions are given.

Keywords.: Relatively prime sets; Φ function; finite fields; primitive elements
Received: 2008-10-01
Revised: 2009-03-20
Accepted: 2009-03-30
Published Online: 2009-08-31
Published in Print: 2009-September

© de Gruyter 2009

Articles in the same Issue

  1. On Relatively Prime Sets
  2. Combinatorial Properties of the Antichains of a Garland
  3. φ(Fn) = Fm
  4. Twelfth Power Qualified Residue Difference Sets
  5. On Pebbling Graphs by Their Blocks
  6. Conjugacy Classes and Class Number
  7. Infinite Families of Divisibility Properties Modulo 4 for Non-Squashing Partitions into Distinct Parts
  8. Waring's Number in a Finite Field
  9. Lucas Diophantine Triples
https://doi.org/10.1515/INTEG.2009.029
Keywords for this article
Relatively prime sets; Φ function; finite fields; primitive elements

Articles in the same Issue

  1. On Relatively Prime Sets
  2. Combinatorial Properties of the Antichains of a Garland
  3. φ(Fn) = Fm
  4. Twelfth Power Qualified Residue Difference Sets
  5. On Pebbling Graphs by Their Blocks
  6. Conjugacy Classes and Class Number
  7. Infinite Families of Divisibility Properties Modulo 4 for Non-Squashing Partitions into Distinct Parts
  8. Waring's Number in a Finite Field
  9. Lucas Diophantine Triples
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