On the exponential diophantine equation \(x^ 2 = 2^{2a}k^{2m} - 2^{2a}k^{m+n} + 1\)
It is shown that the equation of the title, connected with some questions in combinatorial theory, has no positive integer solutions \((x,k,a,m,n)\) satisfying \(k>1\), \(2\nmid k\) and \(2n>m>n\).
scientific article; zbMATH DE number 981785
scientific article