国家自然科学基金(8151027501000114)

作品数：2被引量：8H指数：1
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相关期刊：《Science China Mathematics》《Acta Mathematica Sinica,English Series》更多>>
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On the diophantine equation X^2-(1+a^2)Y^4 =-2a被引量：7
《Science China Mathematics》2010年第8期2143-2158,共16页YUAN PingZhi 1 & ZHANG ZhongFeng 2 1 School of Mathematics,South China Normal University,Guangzhou 510631,China 2 School of Mathematics & Computational Science,Sun Yat-Sen University,Guangzhou 510275,China 
supported by National Natural Science Foundation of China (Grant No.10971072);Guangdong Provincial Natural Science Foundation (Grant No.8151027501000114)
Let a≥1 be an integer.In this paper,we will prove the equation in the title has at most three positive integer solutions.
关键词：algebraic APPROXIMATIONS continued FRACTIONS ELLIPTIC curves QUARTIC equations 
On the Terai-Jésmanowicz Conjecture被引量：1
《Acta Mathematica Sinica,English Series》2008年第12期2061-2064,共4页Jian Ye XIA Ping Zhi YUAN 
NSF of China (No.10571180);the Guangdong Provincial Natural Science Foundation (No.8151027501000114)
In this paper, we prove that if a, b and c are pairwise coprime positive integers such that a^2＋b^2=c^r,a〉b,a≡3 （mod4）,b≡2 （mod4） and c-1 is not a square, thena a^x＋b^y=c^z has only the positive integer solut...
关键词：exponential diophantine equations Terai-Jesmanowicz conjecture Lucas sequences 
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