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RATIONAL POINTS ON THREE SUPERELLIPTIC CURVES

Part of: Diophantine equations

Published online by Cambridge University Press:  06 September 2011

ZHONGYAN SHEN  and
TIANXIN CAI
ZHONGYAN SHEN
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, Zhejiang, PR China Department of Mathematics, Zhejiang International Study University, Hangzhou 310012, Zhejiang, PR China (email: huanchenszyan@yahoo.com.cn)
TIANXIN CAI*
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, Zhejiang, PR China (email: caitianxin@hotmail.com, txcai@zju.edu.cn)
*
✉For correspondence; e-mail: txcai@zju.edu.cn
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Abstract

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In this paper, we obtain all rational points (x,y) on the superelliptic curves

Keywords

superelliptic curvesrational pointsDiophantine equations

MSC classification

Secondary: 11D41: Higher degree equations; Fermat's equation 11D72: Equations in many variables
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 1 , February 2012 , pp. 105 - 113
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

The first author was supported by the Educational Commission of Zhejiang Province of China, Grant No. Y200803340, and Foundation of Zhejiang International Study University, Grant No. 09Z08. The second author was supported by the National Natural Science Foundation of China, Grant No. 10871169.

References

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