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Original Articles

SOME DIOPHANTINE EQUATIONS OVER AND WITH APPLICATIONS TO OF A FIELD

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Pages 353-367 | Received 01 Jul 2000, Published online: 01 Feb 2007
 

ABSTRACT

Through determining all the solutions of and in and of and in we have proved that i) is a subgroup of iff , ii) is a subgroup of iff iii) If then is a subgroup of iff n=2 and which partially confirms a conjecture on posed by Browkin in Citation[1].

ACKNOWLEDGMENT

We should like to express our thanks to professor Tong Wenting for his guidance and help. Supported by the NSFC Grant and the National Distinguished Youth Science Foundation of China Grant.

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