IJPAM: Volume 80, No. 4 (2012)
Department of Mathematics
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