Title: On the Solutions of the Exponential DiophantineEquation x~2 +(3a~2+1)~m=(4a~2+1)~n
Abstract: The authors apply a new,deep theorem of Bilu,Hanrot and Voutier and some fine results on the representation of the solutions of quadratic Diophantine equations to solve completely the exponential Diophantine equation x~2+(3a~2+1)~m=(4a~2 +1)~n when 3a~2+1 is an odd prime or an odd prime power.
Publication Year: 2006
Publication Date: 2006-01-01
Language: en
Type: article
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