On symmetric square values of quadratic polynomials
نویسندگان
چکیده
منابع مشابه
On Symmetric Square Values of Quadratic Polynomials
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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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2011
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa149-2-4