# IJPAM: Volume 80, No. 4 (2012)

ON TERNARY DIOPHANTINE EQUATION

R. Srikanth, S. Subburam
Department of Mathematics
SASTRA University
Thanjavur, 613 401, Tamil Nadu, INDIA

Abstract. Let , , , , be given positive integers with and let and be positive integer valued arithmetical functions such that there is no integer between and for any positive integer . Consider the ternary diophantine equation in variables , , . In this paper, we find a real number such that all positive integral solutions of the equation satisfy .

Received: May 15, 2012

AMS Subject Classification: 11D61, 11D41

Key Words and Phrases: Diophantine equation, arithmetical function

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 4