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《Journal of Science of Teachers' College and University》 2008-05
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On the Diophantine equation x~3+1=py~2

YANG YA-lin(Department of Mathematics,Northwest University,Xi'an 710127,China)  
Appling congruence theory,given some sufficient conditions under which the Diophantine equation x3+1=py2has no positive integer solution.Let p be an odd prime,proved that if p=3(24k+19)(24k+20)+1,wherek is a nonnegative integer,then the equation x3+1=py2has no positive integer solution.
【CateGory Index】: O156.7
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 LE Mao-hua (Department of Mathematics,Zhanjiang Normal College,Zhanjiang 524048,China);On the Diophantine Equation x~3+1=py~2[J];Journal of Guangxi Teachers Education University(Natural Science Edition);2005-04
2 Wang Zhenjiang, Tong Ruizhou(Dept. of Maths., Chaoyang normal college, Liaoning);On the Diophantus Equation x~3 + 1 = l3y~2 xy≠0[J];Journal of Natural Science of Heilongjiang University;1991-04
3 Ko Chao Sun Chi;ON THE DIOPHANTINE EQUATIONSx~3+1=3Dy~2[J];Journal of Sichuan University (Natural Science Edition);1981-02
【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(Department of Mathematics,Zhanjiang Normal College,Zhanjiang Guangdong,524048,P.R.China);On the Diophantine Equation x~3+1=3py~2[J];Journal of Baoding Teachers College;2004-02
3 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
4 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
5 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
6 CHEN Xiao-hua1,LI Zhi-ping2(1.Department of Mathematics,Northwest University,Xi 'an 710069,China2.School of Mathematics,Physics and Saftware Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China);On the Diophantine Equation x~3+1=3py~2[J];Journal of Chongqing Institute of Technology(Natural Science);2009-04
7 Luo Ming(Chongqing Teachers Colleg);Onthe Indeterminate Equation x3±1 = 14y2[J];JOURNAL OF CHONGQING JIAOTONG INSTITUTE;1995-03
8 LUO Ming (College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047,China);On the Diophantine Equation x~3+1=7y~2[J];Journal of Chongqing Teachers College(Natural Science Edition);2003-01
9 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
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【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Ko Chao Sun Chi;ON THE DIOPHANTINE EQUATIONSx~3+1=3Dy~2[J];Journal of Sichuan University (Natural Science Edition);1981-02
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