JP Journal of Algebra, Number Theory and Applications
Volume 14, Issue 2, Pages 185 - 190
(August 2009)
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ON THE DIOPHANTINE EQUATION
Pingzhi Yuan (P. R. China) and Yuan Li (U.S.A.)
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In
this paper, we prove an extension of Cassels’ theorem by showing that for any
prime p and odd positive integer A, the equation
has at most five
solutions in positive integers