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https://ir.vidyasagar.ac.in/jspui/handle/123456789/6863| Title: | On the Exponential Diophantine Equation 23x – 19y = z2 |
| Authors: | Rao, Chikkavarapu Gnanendra |
| Keywords: | Exponential Diophantine equation Integer Solution Catalan’s Conjecture Non-linear equation Modular arithmetic |
| Issue Date: | 30-Dec-2022 |
| Publisher: | Registrar, Vidyasagar University on behalf of Vidyasagar University Publication Division, Midnapore, West Bengal, India, 721102 |
| Series/Report no.: | Volume-27; |
| Abstract: | This article attempts to solve the exponential Diophantine equation 23x − 19y =z2 where x, y and z are non-negative integers using Catalan’s conjecture, factorisation methods, modular arithmetic, and elementary mathematical concepts. This equation has exactly two solutions (x,y,z) = (0,0,0), ( 1,1,2). |
| Description: | PP:1-4 |
| URI: | http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/6863 |
| ISSN: | 2350-0352 |
| Appears in Collections: | Journal of Physical Sciences, Vol. 27 (2022) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| JPS-v27-Art1.pdf | PP:1-4 | 53.59 kB | Adobe PDF | View/Open |
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