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On Polynomials Solutions of Quadratic Diophantine Equations

On Polynomials Solutions of Quadratic Diophantine Equations
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摘要 Let P:=P(t) be a polynomial in Z[X]\{0,1} In this paper, we consider the number of polynomial solutions of Diophantine equation E:X2–(P2–P)Y2–(4P2–2)X+(4P2–4P)Y=0. We also obtain some formulas and recurrence relations on the polynomial solution (Xn,Yn) of Let P:=P(t) be a polynomial in Z[X]\{0,1} In this paper, we consider the number of polynomial solutions of Diophantine equation E:X2–(P2–P)Y2–(4P2–2)X+(4P2–4P)Y=0. We also obtain some formulas and recurrence relations on the polynomial solution (Xn,Yn) of E
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出处 《Advances in Pure Mathematics》 2011年第4期155-159,共5页 理论数学进展(英文)
关键词 POLYNOMIAL SOLUTIONS Pell’s EQUATION DIOPHANTINE EQUATION Polynomial Solutions Pell’s Equation Diophantine Equation
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