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《Journal of Changde Teachers University》 2001-02
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ON THE DIOPHANTINE EQUATIONS x~6±y~6=Dz~2

WANG Yun-kui WANG Jian-ping 1 (Department of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning Guangxi,530006) (1 Center for Polytechnic Training,Guigang Guangxi,537100)  
Let D0 be a square free integer with no prime factor p≡1 (mod 6),then diophantine equations x 6±y 6=Dz 2 positive integer solutions merely are D=2,x=y=z=1 .
【Fund】: 广西民族学院重点科研项目资助课题! (OOSXX0 0 0 0 2 )
【CateGory Index】: O156.7
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【References】
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1 WANG Yun-kui 1 LUO Yi-kui 2 (1.Guangxi University for Nationalities, Nanning Guangxi,530006); (2.Guangxi Jidian Vocatioral College, Nanning Guangxi,530007);ON THE TIJDEMAN CONJECTURE (Ⅰ)[J];Journal of Changde Teachers University;2002-04
2 WANG Yun-kui LI Shu-Xin CHEN Jing (Guangxi University for Nationalities, Nanning,Guangxi,530006);ON THE DIOPHANTINE EQUATION x~6±y~6=pz~2[J];;2003-04
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5 LI Shu xin,WANG Yun kui (Guangxi University for Nationalities,Nanning 530006,China)$$$$;On the Diophantine Equation x~3+y~3=pDz~2[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2002-02
6 WANG Yun kui (Guangxi University for Nationalities,Nanning 530006,China);On the Diophantine Equation x~3+y~3=pDz~4[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2002-03
7 WANG Yun-kui(College of Computer and Information Science,Guangxi University for Nationalities, Nanning 530006,China );On the Diophantine Equation x~6±y~6=pDz~2[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2003-04
8 QIN Hai-ying (Department of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning Guangxi 530007,China);On the Diophantine Equation x~6±y~6=2pz~2[J];Journal of Guangxi Teachers College;2004-01
9 LIN Ji-jun~1,WANG Yun-kui~2(1.Guangxi Sipping Technology School,Nanning 53007,China;2.School of Computer and Information Technology,Guangxi University for Nationalities, Nanning 53000,China);On the Diophantine Equation x~6±y~6=pz~2[J];Journal of Hubei Institute For Nationalities;2005-03
10 WANG Yun-kui (Guangxi University for Nationalities, Nanning,Guangxi 530006,China);On the Diophantine Equation x~3±y~6=Dz~2(Ⅱ)[J];;2003-02
【Citations】
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1 WANG Yun kui, LI Shu xin (Dept.of Mathematics and Computer Science.Guangxi University for Nationalities,Nanning 530006,China);On the Diophantine equations x~4±y~6=z~2 and x~2+y~4=z~6[J];Journal of Guangxi University;2000-04
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【Co-citations】
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1 WU Wen-quan1,HE Bo2(1.Mathematics Department of Aba Teachers College,Wenchuan Sichuan,623000 China; 2.Longchang Xiangshi High School,Longchang Sichuan 642152 China);A Conjecture of the Lucas Triangle[J];Journal of ABA Teachers College;2006-03
2 LI Xiao-yan,ZHANG Hui(School of Mathematics Science,Anhui University,Hefei 230039,China);On the Diophantine Equation x~2+D=4y~3[J];Journal of Hefei Teachers College;2009-03
3 MU Shan-zhi1,DAI Xi-min2(1.Department of Foundation Course,Jiangsu Teachers College of Technology,Changzhou 213001,China;2.School of Sciences,Hefei University of Technology,Hefei 230009,China);On the diuphantine equation x~3±1=py~2[J];Journal of Anhui University(Natural Sciences);2008-01
4 SUN Guang-ren(School of Math.and Computation Science,Anqing Teachers College,Anqing 246133,China);Total Number of Solutions of a Family of Exponential Diophantine Equations with a Parameter[J];Journal of Anqing Teachers College(Natural Science Edition);2009-01
5 WANG Hong-chang(Yingkou Occupation Techniuqe College,Yingkou 115000,China);On diophantine equation x~4+py~4=z~2[J];Journal of University of Science and Technology Liaoning;2009-02
6 Ji wanhui Zhang hong tu;on the Diophanline Eqhation (1/n) sum from (k=0) to (n-1)[1+(40s21)K]~r=[1+(40s+21)n]~r[J];Journal of Anshun Teachers College;1994-02
7 Ji wanhui Ning Xiu wuzbong Normal school;one Results of the Diophantine Eqation in Continuous Integer[J];Journal of Anshun Teachers College;1995-02
8 Zhang Zhijun Wang Liying (Baicheng Normal College 137000);On Pell Equation[J];Journal of Baicheng Teachers College;2004-04
9 LE Mao-hua~(1,2) (Dept.Math., Zhanjiang Normal College, Zhanjiang 524048,Guangdong, China; Dept. Math. Wuzhou Normal School, Hezhou 542800, Guangxi, China);On the Diophantine equation x~3-1=py~2[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2004-02
10 WANG Yunkui (Dept.of Mathematics and Computer Science, Guangxi University for Nationalities,Nanning Guangxi,530006);ON THE DIOPHANTINE EQUATIONS x(x+1)=Dy~3[J];Journal of Changde Teachers University;2000-04
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1 Wang Yunkui (Dept.of Mathematics and Computer Scince Guangxi University for Nationalities Guangxi Nanning 530006 China);On the Diophantine Equations x~2±y~4=z~p[A];[C];2002
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 LE Mao-hua (Department of Mathematics,Zhanjiang Normal College, Zhanjiang Guangdong,524048);ON THE DIOPHANTINE EQUATION x~3+p~(3n)=Dy~2[J];Journal of Changde Teachers University;2001-02
2 WANG Yun-kui LI Shu-Xin CHEN Jing (Guangxi University for Nationalities, Nanning,Guangxi,530006);ON THE DIOPHANTINE EQUATION x~6±y~6=pz~2[J];;2003-04
3 WANG Yun kui,LI Shu xin(Department of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006,China);On the Diophantine Equation x~3+y~3=Dz~2[J];Journal of Changsha Railway University;2002-01
4 Li Fuzhong(Department of Mathematics, Northeast Normal University, Changchun,130024);On the Diophantine Equation x ̄3±512=3Dy ̄2[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1994-01
5 WANG Yun-kui (Department of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006);On the Diophantine Equations x~2±y~4=±z~6[J];Journal of Huaibei Industry Teachers College (Natural Sciences Edition);2001-03
6 WANG Yun kui (Dept. of Mathematics and Computer Science.Guangxi University for Nationalities,Nanning 530006,China)$$$$;On the Diophantus Equation x~4±4y~8=pz~4[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2001-01
7 WANG Yun kui,ZHANG Yong (Dept.of Mathematics and Computer Scince Guangxi University for Nationalities,Guangxi Nanning,530006 China);On the Diophantine equations x~3+y~3=Dz~4[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2001-03
8 WANG Yun kui (Drpt.of Mathematics and Computer Scince Guangxi University for Nationalities ,Guangxi Nanning,530006 China)$$$$;Equations x~p±y~(2p) and Generalization of Fermat's Conjecture[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2001-04
9 WANG Yun-kui ( Guangxi University for Nationalities,Nanning 530006, China);On the Diophantine Equation x~3±y~6=Dz~2[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2002-01
10 LI Shu xin,WANG Yun kui (Guangxi University for Nationalities,Nanning 530006,China)$$$$;On the Diophantine Equation x~3+y~3=pDz~2[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2002-02
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 WANG Yun-kui 1 LUO Yi-kui 2 (1.Guangxi University for Nationalities, Nanning Guangxi,530006); (2.Guangxi Jidian Vocatioral College, Nanning Guangxi,530007);ON THE TIJDEMAN CONJECTURE (Ⅰ)[J];Journal of Changde Teachers University;2002-04
2 WANG Yun-kui LI Shu-Xin CHEN Jing (Guangxi University for Nationalities, Nanning,Guangxi,530006);ON THE DIOPHANTINE EQUATION x~6±y~6=pz~2[J];;2003-04
3 (Department of Mathematics and Computer Science,Guangxi Teacher's Education.University,Nanning,Guangxi,530001,China);On the Diophantine Equation x~4±6px~2y~2±3p~2y~4=z~2[J];Guangxi Sciences;2005-04
4 WANG Yun-kui ( Guangxi University for Nationalities,Nanning 530006, China);On the Diophantine Equation x~3±y~6=Dz~2[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2002-01
5 LI Shu xin,WANG Yun kui (Guangxi University for Nationalities,Nanning 530006,China)$$$$;On the Diophantine Equation x~3+y~3=pDz~2[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2002-02
6 WANG Yun kui (Guangxi University for Nationalities,Nanning 530006,China);On the Diophantine Equation x~3+y~3=pDz~4[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2002-03
7 LI Shuxin, WANG Yunkui (Dept. of Mathematics and Computer Science. Guangxi University for Nationalities,Nanning 530006,China);On the Tijdeman Conjecture(Ⅱ)[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2002-S1
8 WANG Yun-kui(College of Computer and Information Science,Guangxi University for Nationalities, Nanning 530006,China );On the Diophantine Equation x~6±y~6=pDz~2[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2003-04
9 ZHOU Ke 1,WANG Yuang Kui 2 (1.Department of Mathematics and Computer Science,Guangxi Teachers College,Nanning Guangxi 530001,China;2.Department of Mathematics, Guangxi Nationalities College,Nanning Guangxi 530006,China);On the Diophantine Equation x~4+mx~2y~2+ny~4=z~2[J];Journal of Guangxi Teachers College;2002-03
10 XIE Ning-xin,WANG Yun-kui (Dept.of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006,P.R.China);On the Diophantine Equation x~4+mx~2y~2+ny~4=z~2(Ⅰ)[J];Journal of Guangxi Teachers College;2002-04
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Chinese Journal Full-text Database 10 Hits
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