IJPAM: Volume 43, No. 3 (2008)

FERMAT'S, MERSENNE'S, AND WARING'S PROBLEMS
IN OBSERVER'S MATHEMATICS

Dmitriy Khots$^1$, Boris Khots$^2$
$^1$3710 S. 202-nd Avenue Omaha, NE 68130, USA
e-mail: dkhots@cox.net
$^2$4725 121-st Street Des Moines, IA 50323, USA
e-mail: bkhots@cccglobal.com


Abstract.This work considers analogies of certain problems in number theory, such as Fermat's Last Problem, Mersenne's and Fermat's numbers problems, and Waring's problem, in a setting of arithmetic provided by Observer's Mathematics. Certain results and commutations pertaining to solutions of these problems are provided.

Received: January 8, 2008

AMS Subject Classification: 11A99

Key Words and Phrases: Fermat, Mersenne, Waring, arithmetic

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 43
Issue: 3