Equations with Arithmetic Functions of Pell Numbers

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Abstract:

Here, we prove some diophantine results about the Euler function of Pell numbers and their Pell-Lucas companion sequence. For example, if the Euler function of the nth Pell number Pn or Pell-Lucas companion number Qn is a power of 2, then n or 8.

Author(s):
Luca, Florian ; Stanica, Pantelimon
Author Organization(s):
NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF APPLIED MATHEMATICS
Descriptive Note:
Journal article
Supplementary Note:
Published in Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, v57(105) n4 p409-413, 2014.
Pagination:
0006

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Monitor Series:
ONR
 Subject Terms
Joint Capability Areas:
JCA_8_Building Partnerships
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*FUNCTIONS(MATHEMATICS), NUMBERS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
EULER FUNCTIONS, PELL NUMBERS
Report Date:
2014 Jan 01
Creation Date:
2015 May 18