Manju Somanath, J. Kannan
Abstract
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Let P ≔ P(t) be a polynomial in ZሾXሿ.In this paper, we consider the polynomial solutions of Diophantine equation D: M ଶ -42S ଶ -8M -252S -378 = 0. We also obtain some formulas and recurrence relations on the polynomial solution (M ୬ , S ୬ ) of D.
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Let P ≔ P(t) be a polynomial in ZሾXሿ.In this paper, we consider the polynomial solutions of Diophantine equation D: M ଶ -42S ଶ -8M -252S -378 = 0. We also obtain some formulas and recurrence relations on the polynomial solution (M ୬ , S ୬ ) of D.
Key concepts: Diophantine equation, Integer (computer science), Polynomial, Mathematics, Diophantine set, Discrete mathematics, Combinatorics, Pure mathematics