MUMBAI, India, Sept. 28 -- Intellectual Property India has published a patent application (202641112828 A) filed by Shrimati Indira Gandhi College on September 21, 2026, for A Computational System And Method For Solving Exponential Diophantine Equations.

Inventors include Dr. J. Shanthi; Dr. D. Maheswari; Dr. N. Umamaheswari; Ms. V. Anbuvalli; Dr. R. Maheswari; Dr. R. Vanaja; and Dr. P. Janavarthini.

The application for the patent was published on September 25, 2026, under issue no. 39/2026.

Abstract: A computational system and method for solving exponential Diophantine equations comprising a user input unit (102), a mathematical equation processing unit (104), a parameter extraction unit (106), a constraint determination unit (108), a computational transformation unit (110), a candidate solution generation unit (112), a solution evaluation unit (114). The user input unit (102) receives an exponential Diophantine equation and associated constraints, and the mathematical equation processing unit (104) generates a computational representation thereof. The parameter extraction unit (106) identifies variables, coefficients, constants and exponents, while the constraint determination unit (108) determines applicable integer-domain restrictions. The computational transformation unit (110) performs mathematical transformations, the candidate solution generation unit (112) generates candidate integer values, and the solution evaluation unit (114) evaluates the candidates. The invention facilitates structured computational processing and verification of integer solutions for exponential Diophantine equations.

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