Browsing University Journals/ Articles by Subject "On Extension, Existing, Results,Diophantine, Equation: \(\sum_{r=1}^n w_r^2+\frac{n}{3} d^2=3\left(\frac{n d^2}{3}+\sum_{r=1}^{\frac{n}{3}} w_{3 r-1}^2\right)\)"
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On Extension of Existing Results on the Diophantine Equation:∑nr=1w2r+n3d2= 3(nd23+∑n3r=1w23r−1)
(Earthline Journal of Mathematical Sciences, 2025-01-05)Let $w_r$ be a given sequence in arithmetic progression with common difference $d$. The study of diophantine equation, which are polynomial equations seeking integer solutions has been a very interesting journey in the ...