On symmetric square values of quadratic polynomials

Details On symmetric square values of quadratic polynomials On symmetric square values of quadratic polynomials

2010-01-26

arxiv.org/abs/1001.4710v1

Acta Arithmetica 149, 145-159 (2011)

Mathematics

Number Theory

Scientific paper

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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