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 |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2015.03.004 |
| _version_ | 1797235969253965824 |
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| author | DUXiancun(杜先存) |
| author_facet | DUXiancun(杜先存) |
| author_sort | DUXiancun(杜先存) |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T16:56:24Z |
| format | Article |
| id | doaj.art-d6243d1f1fcc4364a795091a05518dcd |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:56:24Z |
| publishDate | 2015-05-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-d6243d1f1fcc4364a795091a05518dcd2024-03-29T01:58:34ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972015-05-0142326827010.3785/j.issn.1008-9497.2015.03.004Integer solution of the indefinite equation x3 ± 1 = 2PDy2(关于不定方程x3± 1 = 2PDy2的整数解)DUXiancun(杜先存)0School of Teacher Education, Honghe University, Mengzi 661199, Yunnan Province, China(红河学院教师教育学院，云南 蒙自 661199)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.https://doi.org/10.3785/j.issn.1008-9497.2015.03.004不定方程奇素数整数解同余式平方剩余递归序列 |
| spellingShingle | DUXiancun(杜先存) Integer solution of the indefinite equation x3 ± 1 = 2PDy2(关于不定方程x3± 1 = 2PDy2的整数解) Zhejiang Daxue xuebao. Lixue ban 不定方程 奇素数 整数解 同余式 平方剩余 递归序列 |
| title | Integer solution of the indefinite equation x3 ± 1 = 2PDy2(关于不定方程x3± 1 = 2PDy2的整数解) |
| title_full | Integer solution of the indefinite equation x3 ± 1 = 2PDy2(关于不定方程x3± 1 = 2PDy2的整数解) |
| title_fullStr | Integer solution of the indefinite equation x3 ± 1 = 2PDy2(关于不定方程x3± 1 = 2PDy2的整数解) |
| title_full_unstemmed | Integer solution of the indefinite equation x3 ± 1 = 2PDy2(关于不定方程x3± 1 = 2PDy2的整数解) |
| title_short | Integer solution of the indefinite equation x3 ± 1 = 2PDy2(关于不定方程x3± 1 = 2PDy2的整数解) |
| title_sort | integer solution of the indefinite equation x3 1 2pdy2 关于不定方程x3 1 2pdy2的整数解 |
| topic | 不定方程 奇素数 整数解 同余式 平方剩余 递归序列 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2015.03.004 |
| work_keys_str_mv | AT duxiancundùxiāncún integersolutionoftheindefiniteequationx312pdy2guānyúbùdìngfāngchéngx312pdy2dezhěngshùjiě |