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https://ir.vidyasagar.ac.in/jspui/handle/123456789/7077| Title: | On the Exponential Diophantine Equation 27^x – 11^y = z^2 |
| Authors: | Gope, Rathindra Chandra |
| Keywords: | Diophantine equation Factoring method Modular arithmetic method Integer Solution Catalan’s Conjecture Non-linear Equation |
| Issue Date: | 30-Dec-2023 |
| Publisher: | Registrar, Vidyasagar University on behalf of Vidyasagar University Publication Division, Midnapore, West Bengal, India, 721 101 |
| Series/Report no.: | Vol. 28; |
| Abstract: | In this article, we study and establish the theorem of the exponential Diophantine equation 27^x -11^y = z^2 , which has exactly two solutions where x, y and z are non-negative integers using Catalan’s conjecture, modular arithmetic, factorial method and elementary mathematical concepts. |
| Description: | PP:11-15 |
| URI: | http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/7077 |
| ISSN: | 2350-0352 |
| Appears in Collections: | Journal of Physical Sciences, Vol. 28 (2023) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| JPS-v28-Art2.pdf | PP:11-15 | 42.06 kB | Adobe PDF | View/Open |
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