| 关于不定方程组x~2-6y~2=1,y~2-Dz~2=4 |
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| 引用本文： | 贺腊荣,张淑静,袁进.关于不定方程组x~2-6y~2=1,y~2-Dz~2=4[J].云南民族大学学报(自然科学版),2012,21(1):57-58. |
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| 作者姓名： | 贺腊荣 张淑静 袁进 |
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| 作者单位： | 1. 西北大学数学系 陕西西安710127
2. 交城中学 山西交城030500 |
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| 摘 要： | 证明了当D=2k∏i=1pi,其中pi是互异的奇素数,且pi≡13,17,19,23(mod 24)时不定方程组x2-6y2=1,y2-Dz2=4仅有平凡解z=0.
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| 关 键 词： | 不定方程组 Pell方程 整数解 |
Diophantine Equation x~2-6y~2=1,y~2-Dz~2=4 |
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| HE La-rong
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ZHANG Shu-jing
,
YUAN Jin.Diophantine Equation x~2-6y~2=1,y~2-Dz~2=4[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2012,21(1):57-58. |
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| Authors: | HE La-rong ZHANG Shu-jing YUAN Jin |
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| Institution: | 1 (1.Department of Mathematics,Northwest University,Xi′an 710127,China;2.Department of Middle School of Jiaocheng,Jiaocheng 030500,China) |
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| Abstract: | It has been prored in this paper that when D=2k∏i=1pi,where pi should be odd primes,and pi≡13,17,19,23(mod 24),the simultaneous diophantine equations of x2-6y2=1 and y2-Dz2=4 have the only integer solution z=0. |
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| Keywords: | diophantine equation Pell’s equation integer solution |
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