On Some Mixed Polynomial Exponential Diophantine Equation: \(\alpha^n+\beta^n+a(\alpha^s\pm\beta^s)^m+D=r(u^k+v^k+w^k)\) with \(\alpha\) and \(\beta\) Consecutive

Mude, Lao Hussein (2024) On Some Mixed Polynomial Exponential Diophantine Equation: \(\alpha^n+\beta^n+a(\alpha^s\pm\beta^s)^m+D=r(u^k+v^k+w^k)\) with \(\alpha\) and \(\beta\) Consecutive. Journal of Advances in Mathematics and Computer Science, 39 (10). pp. 11-17. ISSN 2456-9968

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Official URL: https://doi.org/10.9734/jamcs/2024/v39i101931

Abstract

Leta,α,β,r,u,v,wandDbe any integers and suppose thatn,m,sandkare non-negative exponent. In thispaper, the diophantine equationαn+βn+a(αs±βs)m+D=r(uk+vk+wk)is developed and investigatedfor integer solution and its various polynomial identities. Moreover, the study formulates some conjecturesfor the title equation.

Item Type:	Article
Subjects:	OA STM Library > Mathematical Science
Depositing User:	Unnamed user with email support@oastmlibrary.com
Date Deposited:	28 Sep 2024 07:02
Last Modified:	28 Sep 2024 07:02
URI:	http://geographical.openscholararchive.com/id/eprint/1496

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