On Certain Relation of Sumsof Squares and Quartic

dc.contributor.author	Hussein, L.M.
dc.contributor.author	Kayiita, Z.K.,
dc.contributor.author	Kinyanjui, J.N.
dc.date.accessioned	2026-04-17T09:55:43Z
dc.date.available	2026-04-17T09:55:43Z
dc.date.issued	2025-08-20
dc.identifier.uri	http://hdl.handle.net/123456789/1278
dc.description.abstract	Letkanddbe a given positive integers and suppose thataris a given sequence. In this current study, we investiagate adiophantine identity relating the sums of squares and quartic from specific sequences to a variabled.In particular, thediophantine identity∑2kr=1a4r+kd4=2∑2k−1r=1(arar+1+d2)2is developed and introduced. The objective of this researchis to determine the conditions under which integer solutions for(ar,d)exist within this diophantine equation. Themethodology involves, decomposing polynomials, factorizing polynomials, and exploring the solution set of the givenequation.	en_US
dc.publisher	British Journal of Mathematics&Computer Science	en_US
dc.subject	Diophantine equation; sums of squares; integer sequence; quartic	en_US
dc.title	On Certain Relation of Sumsof Squares and Quartic	en_US
dc.type	Article	en_US