Inherent Approaches to Solving Exponential Diophantine Equations involving Disarium Numbers of order 2 to 4.
Year: 2025
Type: article
Abstract: Exponential Diophantine equations, which involve integer solutions to equations containing variables in exponents, represent a significant area of study in number theory. In this article, we explore, we introduce three distinct exponential Diophantine equations. By incorporating insights from the Catalan Conjecture and utilizing Disarium numbers of orders 2, 3, and 4, we establish non-negative integer solutions to these equations. A series of numerical examples is also presented to validate the proposed method and demonstrate how the equations can be effectively solved.
Source: THE SCIENTIFIC TEMPER
Authors: P. Sangeetha, G. Janaki
Institution: Bharathidasan University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414555137
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