| G_(40)(Q)和G_(77)(Q)都不是K_2Q的子群 |
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| 引用本文： | 杨降龙. G_(40)(Q)和G_(77)(Q)都不是K_2Q的子群[J]. 四川师范大学学报(自然科学版), 2010, 33(1). DOI: 10.3969/j.issn.1001-8395.2010.01.012 |
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| 作者姓名： | 杨降龙 |
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| 作者单位： | 南京工程学院,基础部,江苏,南京,211167 |
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| 摘 要： | 首先通过对丢番图方程的研究,给出了Gn(Q)是K2Q子群时所需满足的条件,然后利用这些结论证明了G40(Q)和G77(Q)都不是K2Q的子群,从而部分证明了Browkin的一个猜想.
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| 关 键 词： | 丢番图方程 分圆多项式 Q数集 |
Neither G_(40)(Q) nor G_(77)(Q) is a Subgroup of K_2Q |
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| YANG Xiang-long. Neither G_(40)(Q) nor G_(77)(Q) is a Subgroup of K_2Q[J]. Journal of Sichuan Normal University(Natural Science), 2010, 33(1). DOI: 10.3969/j.issn.1001-8395.2010.01.012 |
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| Authors: | YANG Xiang-long |
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| Affiliation: | YANG Xiang-long (Department of Basic Courses,Nanjing Institute of Technology,Nanjing 211167,Jiangsu) |
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| Abstract: | In this paper,we first investigate some Diophantine equations,and then discuss when Gn(Q) is a subgroup of K2Q.Then we use these results to prove that neither G40(Q) nor G77(Q) is a subgroup of K2Q,which confirms a special case of a conjecture proposed by Browkin. |
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| Keywords: | K_2Q diophantine equation K_2Q cyclotomic polynomial |
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