| 关于素数幂的一条表示定理 |
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| 引用本文： | 袁平之,肖果能.关于素数幂的一条表示定理[J].湖南城市学院学报,1997(6). |
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| 作者姓名： | 袁平之 肖果能 |
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| 作者单位： | 长沙铁道学院数力系!长沙４１００７５ |
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| 摘 要： | 设ｑ为奇素数，ｐ为素数且ｐ３（ｍｏｄ４）．本文用完全初等的方法证明了：如果ｌ为使ｑｌ可表示成二次型ｘ２＋ｐｙ２，（ｘ，ｙ）＝１的最小正整数，ｍ为自然数，则ｑｍ有这种表示的充分必要条件是：ｌ｜ｍ
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| 关 键 词： | 既约表示 素数 理想 |
A Theorem on the Representation of Prime Powers |
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| Yuan Ping zhi ,Xiao Guo neng.A Theorem on the Representation of Prime Powers[J].Journal of Hunan City Univeristy,1997(6). |
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| Authors: | Yuan Ping zhi Xiao Guo neng |
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| Institution: | Changsha Railway Institute ChangSha 410075 |
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| Abstract: | Let q be an odd prime integer and p be a prime number with p3(mod4). Inthis paper,by a completely elementary method we prove:if l is the least positive integer suchthat ql can be represented by the quadratic form x2 py2 with (x,y)=1, then qm can be represented by this form if and only if l|m. |
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| Keywords: | Irreducible representation Prime number Ideal |
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