Le, Maohua On the diophantine equation \((x^m+1)(x^n+1)=y^2\). (English) Zbl 0893.11013 Acta Arith. 82, No. 1, 17-26 (1997). The author proves that if \(x,y,m,n\) are natural numbers such that \(x<1\), \(n> m\),and \((x^m+1)\) \((x^n+1) =y^2\), then \((x,y,m,n) =(7,20,1,2)\). The proof makes use of prior results regarding Pell numbers, related diophantine equations, and linear forms in two logarithms. Reviewer: N.Robbins (San Francisco) MSC: 11D61 Exponential Diophantine equations 11J86 Linear forms in logarithms; Baker’s method Keywords:exponential diophantine equations; Pell numbers; linear forms in two logarithms PDFBibTeX XMLCite \textit{M. Le}, Acta Arith. 82, No. 1, 17--26 (1997; Zbl 0893.11013) Full Text: DOI EuDML