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《Journal of Hubei Institute For Nationalities》 2005-01
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On a Problem of Fermat

LE Mao-hua(Department of Mathematics,ZhanJiang Normal College,Zhanjiang 524048,China)  
For any positive integer a,let δ(a) denote the sum of divisors of a.In this paper,we prove that the equation δ(x~3)=y~2 has no positive integer solution (x,y) with x=2p,where p is an odd prime.
【Fund】: 国家自然科学基金项目(№10271104);; 广东省自然科学基金项目(№011781);; 广东省教育厅自然科学研究项目(№0161);; 湛江市988科技兴湛计划项目.
【CateGory Index】: O156
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【References】
Chinese Journal Full-text Database 2 Hits
1 LE Mao-hua (Zhanjiang Normal College,Zhanjiang 524048);On the Solution of Diophantine Equation[J];Journal of Yangtze University(Natural Science Edition);2005-07
2 RAN Yin-xia1,RAN yan-ping2(Department of Mathematics,Longnan Teacher’s College,Longnan 742500,P.R.C.;2.Department of Mathematics,Tianshui Normal University,Tianshui 741001,P.R.C.);On the Diophantine equation δ(x~3)=y~2[J];Journal of Southwest University for Nationalities(Natural Science Edition);2010-04
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 LE Mao-hua (Zhanjiang Normal College,Zhanjiang 524048);On the Solution of Diophantine Equation[J];Journal of Yangtze University(Natural Science Edition);2005-07
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 RAN Yin-xia1,RAN yan-ping2(Department of Mathematics,Longnan Teacher’s College,Longnan 742500,P.R.C.;2.Department of Mathematics,Tianshui Normal University,Tianshui 741001,P.R.C.);On the Diophantine equation δ(x~3)=y~2[J];Journal of Southwest University for Nationalities(Natural Science Edition);2010-04
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