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- W2362620723 abstract "Let a,b,c,x,y be fixed positive integers such that min(x,y)1 and gcd(ax,by,)=1.ln this paper,using some elementary number theory methods,we prove that the equation axm+byn=c has at most two positive integer solutions(m,n).Moreover,if the equation has exactly two solutions(m,n)=(m1,n1) and(m2,n2),then we have(axm1-byn1)(axm1-byn1)0." @default.
- W2362620723 created "2016-06-24" @default.
- W2362620723 creator A5031685601 @default.
- W2362620723 date "2009-01-01" @default.
- W2362620723 modified "2023-09-24" @default.
- W2362620723 title "The Number of Solutions of Exponential Diophantine Equation ax~m+by~n=c" @default.
- W2362620723 hasPublicationYear "2009" @default.
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