丢番图方程X^2^p—Dy^2=1与费马商Qp(m) |
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引用本文: | 曹珍富,潘家宇.丢番图方程X^2^p—Dy^2=1与费马商Qp(m)[J].哈尔滨工业大学学报,1993,25(6):119-120. |
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作者姓名: | 曹珍富 潘家宇 |
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作者单位: | 哈尔滨工业大学数学系
(曹珍富),哈尔滨工业大学数学系(潘家宇) |
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摘 要: | 0 The Diophantine equation X~(2p)-Dy~2=1Let D be a positive integer which is square free,and p be a prime.In 1966,Ljunggren showed that if p=2 and D=q is a prime,then the Diophantine equationx~(2p)-Dy~2=1(1)has only positive integer solutions(q,x,y)=(5,3,4),(29,99,1820).In 1979,KoChao and Sun Qi showed that if p=2 and D=2q,then Eq.(1)has no positive inte-
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关 键 词: | 丢番图方程 费马商 |
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