Author:
ZHU HUILIN,LE MAOHUA,TOGBÉ ALAIN
Abstract
AbstractLetpbe an odd prime. In this paper, we consider the equationand we describe all its solutions. Moreover, we prove that this equation has no solution (x,y,m,n) whenn>3 is an odd prime andyis not the sum of two consecutive squares. This extends the work of Tengely [On the diophantine equationx2+q2m=2yp,Acta Arith.127(1) (2007), 71–86].
Publisher
Cambridge University Press (CUP)
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