Abstract
Abstract Let m > 1 be a positive integer. We show that the exponential Diophantine equation m x + ( m + 1) y = (1 + m + m 2 ) z has only the positive integer solution ( x, y, z ) = (2, 1, 1) when m ≥ 2.
Keywords
Diophantine equation
Integer (computer science)
Exponential function
Physics
Combinatorics
Mathematics
Mathematical analysis
Computer science
Subject Areas
Algebraic Geometry and Number Theory
·Geometry and Topology ·Physical Sciences
Mathematical Dynamics and Fractals
·Mathematical Physics ·Physical Sciences
Analytic Number Theory Research
·Algebra and Number Theory ·Physical Sciences
Citations by Year
2022: 1
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