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《Journal of Changde Teachers University》 2002-04
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ON THE TIJDEMAN CONJECTURE (Ⅰ)

WANG Yun-kui 1 LUO Yi-kui 2 (1.Guangxi University for Nationalities, Nanning Guangxi,530006); (2.Guangxi Jidian Vocatioral College, Nanning Guangxi,530007)  
Let p ≡5(mod 6) be a prime, D 0 be a square free Integer with no prime factor p ≡1(mod 6),all solutions of the diophantine equations, x 3+y 3=pDz 2,(x,y)=1 respectively were given.
【CateGory Index】: O156.7
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【References】
Chinese Journal Full-text Database 2 Hits
1 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
2 Xiong Wen ( Guangxi Vocational and Technological College for Transpotation, Guangxi Nanning 530023, China);About the Diophantine Equation X + mY4= Z[J];Journal of Nanning Junior Teachers' College;2003-01
【Citations】
Chinese Journal Full-text Database 9 Hits
1 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);ON THE DIOPHANTINE EQUATIONS x~6±y~6=Dz~2[J];Journal of Changde Teachers University;2001-02
2 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
3 WANG Yun kui (Dept. of Mathematics and Computer Science.Guangxi University for Nationalities,Nanning 530006,China)$$$$;On the Diophantus Equation x~4±4y~8=pz~4[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2001-01
4 WANG Yun kui (Drpt.of Mathematics and Computer Scince Guangxi University for Nationalities ,Guangxi Nanning,530006 China)$$$$;Equations x~p±y~(2p) and Generalization of Fermat's Conjecture[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2001-04
5 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
6 Cao Zhenfu; Dong Xiaolei(Dept.of Mathematics,HIT);On the Diophantine Equation x~3+z~3=Dy~2[J];Journal of Harbin Institute of Technology;1999-02
7 Wang Yunkui Li Shuxin(Guangxi University for Nationalities);ON THE GENERALIZATION OF FERMAT'S CONJECTURE[J];Natural Science Journal of Harbin Normal University;2000-04
8 Dong Xiaolei (Department of Mathematics, Harbin Institute of Technology, Harbin 150001);On the Dipohantine Equation x 3+a 3=Dy 2[J];JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY;1998-01
9 WANG Yun kui (Dept.of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006);On the Diophantine Equations x~3±y~6=z~2[J];JOURNAL OF LIUZHOU TEACHERS COLLEGE;2000-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 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
2 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
3 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);ON THE DIOPHANTINE EQUATIONS x~6±y~6=Dz~2[J];Journal of Changde Teachers University;2001-02
4 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
5 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
6 Yuan Pingzhi(Department of Mathematics, Physics and Mechanics);A New Proposition of Pell's Equation and its Applications[J];JOURNAL OF CHANGSHA RAILWAY UNIVERSITY;1994-03
7 Li Fuzhong (Department of Mathmatics,Northeast Normal University,Changchun,130024);On the Diophantine Equation x ̄3±(2 ̄(2k-1)) ̄3=Dy ̄2[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1994-04
8 Li Fuzhong(Department of Mathematics,Northeast Normal University,Changchun,130024);On the Diophantine Equation x ̄3±3 ̄9=Dy ̄2[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1995-03
9 Cao Zhenfu ( Haibin Institute of Technology );On Ljunggren's Equation and Its Generalization[J];;1988-02
10 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
China Proceedings of conference Full-text Database 1 Hits
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 8 Hits
1 WANG Yun kui,CAO Dun qian (Dept. of Mathernatics and Computer Science.Guangxi University for Nationalities,Nanning 530006,China);On the Diophantus Equation x~4±y~4=mz~4[J];JOURNAL OF GUANGXI UNIVERSITY FOR NATIONALITIES(NATURAL SCIENCE EDITION);2000-03
2 WANG Yun kui (Dept. of Mathematics and Computer Science.Guangxi University for Nationalities,Nanning 530006,China)$$$$;On the Diophantus Equation x~4±4y~8=pz~4[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2001-01
3 WANG Yun kui (Drpt.of Mathematics and Computer Scince Guangxi University for Nationalities ,Guangxi Nanning,530006 China)$$$$;Equations x~p±y~(2p) and Generalization of Fermat's Conjecture[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2001-04
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 WANG Yun kui,HUANG Wei xi (Dept. of Mathematics and Computer Science, Guangxi University for Nationalities,Nanning 530006, China);On the Diophantine Equation[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2002-02
6 ZHOU Ke (Dept.of Mathematics and Computer Science of Cuangxi Teachers College,Nanning Guangxi 530001, China);About the Diophantine Equations x~4+m~y 4=nz~2[J];Journal of Guangxi Teachers College;2001-02
7 Wang Yunkui Li Shuxin(Guangxi University for Nationalities);ON THE GENERALIZATION OF FERMAT'S CONJECTURE[J];Natural Science Journal of Harbin Normal University;2000-04
8 Cao Zhenfu Department of Mathematics,Harbin Institute of Technology, Harbin 150001,China;On the Diophantine equations x 4±y 4=z p[J];JOURNAL OF NINGXIA UNIVERSITY(NATURAL SCIENCE EDITION);1999-01
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 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
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 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);ON THE DIOPHANTINE EQUATIONS x~6±y~6=Dz~2[J];Journal of Changde Teachers University;2001-02
2 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
3 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
4 Li Fuzhong(Department of Mathematics,Northeast Normal University,Changchun,130024);On the Diophantine Equation x ̄3±729=Dy ̄2[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1995-01
5 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
6 WANG Yun kui (Dept. of Mathematics and Computer Science.Guangxi University for Nationalities,Nanning 530006,China)$$$$;On the Diophantus Equation x~4±4y~8=pz~4[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2001-01
7 WANG Yun kui,ZHANG Yong (Dept.of Mathematics and Computer Scince Guangxi University for Nationalities,Guangxi Nanning,530006 China);On the Diophantine equations x~3+y~3=Dz~4[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2001-03
8 LI Shu xin,WANG Yun kui (Guangxi University for Nationalities,Nanning 530006,China)$$$$;On the Diophantine Equation x~3+y~3=pDz~2[J];Journal of Guangxi University For Nationalities(Natural Science Edition);2002-02
9 Cao Zhenfu; Dong Xiaolei(Dept.of Mathematics,HIT);On the Diophantine Equation x~3+z~3=Dy~2[J];Journal of Harbin Institute of Technology;1999-02
10 CAO Zhen fu (Dept. of Mathematics, Harbin Institute of Technology, Harbin 150001, China);On a kind of superelliptic diophantine equations[J];Journal of Harbin Institute of Technology;2001-04
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