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https://ir.vidyasagar.ac.in/jspui/handle/123456789/7072| Title: | General Solution of the Diophantine Equation M^x p + (M q + 1)^y= (lz)^2 |
| Authors: | Ghosh, Arkabrata |
| Keywords: | Diophantine equation Diophantine equation Integer solution |
| 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, I study and solve the exponential Diophantine equation M^x p + (M q + 1)^y= (lz)^2 where M p and M q are Mersenne primes, l is a prime number, and x, y and z are non-negative integers. Several illustrations are presented as well as cases where no solution of the given Diophantine equation is present. |
| Description: | PP: 49-54 |
| URI: | http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/7072 |
| ISSN: | 2350-0352 |
| Appears in Collections: | Journal of Physical Sciences, Vol. 28 (2023) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| JPS-v28-Art7.pdf | PP:49-54 | 79.8 kB | Adobe PDF | View/Open |
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