On the Euler Function of the Catalan Numbers

Abstract

We study the solutions of the equation phi(Cm)/phi(Cn) = r where r is a xed rational number, Ck is the kth Catalan number and phi is the Euler function. We note that the number r = 4 is special for this problem and for it we construct solutions (m; n) to the above equation which are related to primes p such that 2p - 1 or 4p - 3 is also prime.

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Document Details

Document Type
Technical Report
Publication Date
Feb 26, 2012
Accession Number
ADA574607

Entities

People

  • Florian Luca
  • Pantelimon Stanica

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Arithmetic
  • Coefficients
  • Equations
  • Inequalities
  • Information Operations
  • Mathematics
  • Number Theory
  • Numbers
  • Prime Numbers
  • Rational Numbers
  • Real Numbers
  • Sequences
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis