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Diophantine m-tuples for linear polynomials |
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| Authors: | Dujella Andrej Fuchs Clemens Tichy Robert F |
| Institution: | (1) Department of Mathematics, University of Zagreb, Bijeniv cka cesta 30, 10000 Zagreb, Croatia;(2) Institut für Mathematik, TU, Graz, Steyrergasse 30, A-8010 Graz, Austria;(3) Institut f. Mathematik, TU, Graz, Steyrergasse 30, A-8010 Graz, Austria |
| 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. This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | diophantine m-tuples hyperelliptic equations Mason's inequality function fields |
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