On the Exponential Diophantine Equation 27^x – 11^y = z^2

Please use this identifier to cite or link to this item: https://ir.vidyasagar.ac.in/jspui/handle/123456789/7077

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DC Field	Value	Language
dc.contributor.author	Gope, Rathindra Chandra	-
dc.date.accessioned	2024-04-16T03:02:30Z	-
dc.date.available	2024-04-16T03:02:30Z	-
dc.date.issued	2023-12-30	-
dc.identifier.issn	2350-0352	-
dc.identifier.uri	http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/7077	-
dc.description	PP:11-15	en_US
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Registrar, Vidyasagar University on behalf of Vidyasagar University Publication Division, Midnapore, West Bengal, India, 721 101	en_US
dc.relation.ispartofseries	Vol. 28;	-
dc.subject	Diophantine equation	en_US
dc.subject	Factoring method	en_US
dc.subject	Modular arithmetic method	en_US
dc.subject	Integer Solution	en_US
dc.subject	Catalan’s Conjecture	en_US
dc.subject	Non-linear Equation	en_US
dc.title	On the Exponential Diophantine Equation 27^x – 11^y = z^2	en_US
dc.type	Article	en_US
Appears in Collections:	Journal of Physical Sciences, Vol. 28 (2023)

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