On the Exponential Diophantine Equation 23x – 19y = z2

Please use this identifier to cite or link to this item: http://inet.vidyasagar.ac.in:8080/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

DSpace JSPUI