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  • 1 University of Zagreb Department of Mathematics Bijeniv cka cesta 30 10000 Zagreb Croatia
  • 2 TU, Graz Institut für Mathematik Steyrergasse 30 A-8010 Graz Austria
  • 3 TU, Graz Institut f. Mathematik Steyrergasse 30 A-8010 Graz Austria
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Abstract  

In this paper, we prove that there does not exist a set with more than 26 polynomials with integer coefficients, such that the product of any two of them plus a linear polynomial is a square of a polynomial with integer coefficients.