关于丢番图方程a^nx^m±1/a^nx±1=y^n+1

ON THE DIOPHANTINE EQUATION a^nx^m±1/a^nx±1=y^n+1

得到了题设方程除a =1,n =5 ,x <- 1且m为偶数外的全部整数解 .

Theauthorobtainedallintegralsolutionsoftheequationofthetitleexceptpossiblywhena =1 ,n =5,x <- 1andm≡ 0 (mod2 ) .