On Polynomials Solutions of Quadratic Diophantine Equations

来源 :理论数学进展(英文) | 被引量 : 0次 | 上传用户：zhangshuyunhuiming

【摘要】

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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–

【作者】

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Amara Chandoul

【机构】

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不详

【出处】

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理论数学进展(英文)

【发表日期】

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2011年4期

【关键词】

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POLYNOMIAL SOLUTIONS Pell’s EQUATION DIOPHANTINE EQUATION Polynomial Solutions P

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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) o

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On Polynomials Solutions of Quadratic Diophantine Equations

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