| P_(-1)集S_k=｛1, k~2 +1,(k+1)~2+1｝不可扩张的两个判别定理 |
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| 引用本文： | 瞿维建. P_(-1)集S_k=｛1, k~2 +1,(k+1)~2+1｝不可扩张的两个判别定理[J]. 杭州师范学院学报(社会科学版), 1999, 0(3) |
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| 作者姓名： | 瞿维建 |
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| 作者单位： | 杭州师范学院数学系 |
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| 摘 要： | 本文主要获得了Ｐ_(－１)集Ｓ_Ｋ＝｛１，ｋ~２十１，（ｋ十１）~２＋１｝不可扩张的两个判别定理，根据这两个判别定理，我们验证了在 ５≤ｋ≤１００的范围内，当 ｋ＝５，８，９，１１，１２，１４，１７，１８，３２，３６，４４，５０，５１，５３，６５，６９， ７２， ７５， ８１， ８３， ８９， ９９时Ｓ_ｋ不可扩张．
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| 关 键 词： | P_(-1)集的扩张 丢番图方程 |
TWO CRITERION THEOREMS ON INEXTENSIBILITY OF THE P_(-1) SETS S_k= {1,k~2+1, (k+1)~2+1} |
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| Qu Weijian. TWO CRITERION THEOREMS ON INEXTENSIBILITY OF THE P_(-1) SETS S_k= {1,k~2+1, (k+1)~2+1}[J]. Journal of Hangzhou Teachers College(Humanities and Social Sciences), 1999, 0(3) |
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| Authors: | Qu Weijian |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper,we obtain two criterion theorems on inextensibility of the P_(-1), sets S_K= {1, K~2 +1, (k+1)~2+ 1}. Consequently, we prove that the P_(-1), sets S_k can not be extended for k=5, 8, 9, 11,12,14,17,18,32,36,44,50,51,53,6,83,89,99. |
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| Keywords: | extension of the P_(-1) sets Diophantine equations. |
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