A simple method for solving the Diophantine equation \(Y^2=X^4+aX^3+bX^2+cX+d\)
The author gives intervals containing the solutions \(x\) of the title equation. The intervals are surprisingly short, depend only on the coefficients of the polynomial involved and make it possible to determine the solutions in many cases without computers. The proof is elementary.
scientific article; zbMATH DE number 1319943