Accession Number : ADA574607


Title :   On the Euler Function of the Catalan Numbers


Descriptive Note : Journal article


Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF APPLIED MATHEMATICS


Personal Author(s) : Luca, Florian ; Stanica, Pantelimon


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a574607.pdf


Report Date : 26 Feb 2012


Pagination or Media Count : 23


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.


Descriptors :   *EULER EQUATIONS , SOLUTIONS(GENERAL)


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE