Diophantine m-tuples for quadratic polynomials

  • Ana Jurasic
  • Published 2013 in Electronic Notes in Discrete Mathematics

Abstract

In this paper, we prove that there does not exist a set with more than 98 nonzero polynomials in Z[X], such that the product of any two of them plus a quadratic polynomial n is a square of a polynomial from Z[X] (we exclude the possibility that all elements of such set are constant multiples of a linear polynomial p ∈ Z[X] such that p2|n). Specially, we… (More)
DOI: 10.1016/j.endm.2013.07.004

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