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arXiv · 1001.4710

On symmetric square values of quadratic polynomials

Enrique Gonzalez-Jimenez·Xavier Xarles
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Abstract

We prove that there does not exist a non-square quadratic polynomial with integer coefficients and an axis of symmetry which takes square values for N consecutive integers for N=7 or N >= 9. At the opposite, if N <= 6 or N=8 there are infinitely many.

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Enrique Gonzalez-Jimenez, Xavier Xarles. 2010-01-26. On symmetric square values of quadratic polynomials. https://doi.org/10.4064/aa149-2-4

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