IJPAM: Volume 89, No. 1 (2013)
ON THE DIOPHANTINE EQUATION

Banyat Sroysang
Department of Mathematics and Statistics
Faculty of Science and Technology
Thammasat University
Rangsit Center, Pathumthani 12121, THAILAND
Department of Mathematics and Statistics
Faculty of Science and Technology
Thammasat University
Rangsit Center, Pathumthani 12121, THAILAND
Abstract. In this paper, we prove that is a unique non-negative integer solution
for the Diophantine equation
where
and
are non-negative integers.
Received: September 27, 2013
AMS Subject Classification: 11D61
Key Words and Phrases: exponential Diophantine equation
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DOI: 10.12732/ijpam.v89i1.13 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 89
Issue: 1