# 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 .

AMS Subject Classification: 11D61, 11D41

Key Words and Phrases: Diophantine equation, arithmetical function