Integer solution of the indefinite equation x3 ± 1 = 2PDy2(关于不定方程x3± 1 = 2PDy2的整数解)
设,ri ≡- 1(mod 6) (1 ≤ i ≤ n)为互异的奇素数,pj ≡ 1(mod 6)(1≤j≤s)为互异的奇素数,利用Pell方程解的性质、同余式、平方剩余、递归序列等,得到当s= 2且时,方程x3±1 = 2PDy2仅有平凡解的2个充分条件.
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Format: | Article |
Language: | zho |
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Zhejiang University Press
2015-05-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
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Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2015.03.004 |