丢番图方程ax^2+by^2=z^(3^n)整数解族问题研究 |
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引用本文: | 郭明普,及万会.丢番图方程ax^2+by^2=z^(3^n)整数解族问题研究[J].新乡学院学报(自然科学版),2011,28(1):16-18. |
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作者姓名: | 郭明普 及万会 |
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作者单位: | 郭明普,GUO Ming-pu(河南工业职业技术学院,基础科学部,河南,南阳,473009);及万会,JI Wan-hui(银川大学,数学教研室,宁夏,永宁,750105) |
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摘 要: | 研究了丢番图方程x2+axy+y2=z2,ax2+b2y=z3n和x2+pxy+y2=z2n整数解族问题,给出了它们的整数解族公式。
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关 键 词: | 丢番图方程 整数解族 恒等式 |
Study of Diophantine Equation of Form ax2+by2=z3n |
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Authors: | GUO Ming-pu JI Wan-hui |
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Institution: | 1.Department of Basic Science,Henan Polytechnic Institute,Nanyang 473009,China;2.Department of Mathematics,Yinchuan University,Yongning 750105,China) |
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Abstract: | In this paper,the Diophantine equations,such as x 2 + axy + y 2=z2,ax2 + by2=z3k and x 2+ pxy+ y2=z2n,are discussed.Calculating formulas of solution family wre given out for these equations. |
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Keywords: | Diophantine equation Family of integer solution identities |
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