| SOLUTIONS OF THE EQUATION x^m＋y^m=z^m IN SL2z |
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| 引用本文： | ZHANGZHAOJI. SOLUTIONS OF THE EQUATION x^m＋y^m=z^m IN SL2z[J]. 高校应用数学学报(英文版), 1995, 10(3): 357-359. DOI: 10.1007/BF02662877 |
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| 作者姓名： | ZHANGZHAOJI |
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| 作者单位： | DepartmentofMathematics,ZhejiangUniversity,Hangzhou310027 |
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| 摘 要： | This paper solves an open problem of Vaserstein. The main result is: the equation x^m y^m=z^m has a solution in SL2z if and only if m is not divisible by 4 or 6 and m is not congruent to 3 modulo 6.
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| 关 键 词： | 数论 矩阵 FERMAT大定理 实数解 |
| 收稿时间： | 1994-04-28 |
Solutions of the equation xm+ym=zm in SL2 z |
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| Zhang Zhaoji. Solutions of the equation xm+ym=zm in SL2 z[J]. Applied Mathematics A Journal of Chinese Universities, 1995, 10(3): 357-359. DOI: 10.1007/BF02662877 |
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| Authors: | Zhang Zhaoji |
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| Affiliation: | (1) Department of Mathematics, Zhejiang University, 310027 Hangzhou |
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| Abstract: | This paper solves an open problem of Vaserstein. The main result is: the equationx m+ym=zm has a solution in SL2 z if and only ifm is not divisible by 4 or 6 andm is not congruent to 3 modulo 6. Supported by the Natural Science Foundation of Zhejiang Province. |
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| Keywords: | 11C99 |
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