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On the size of sets in a polynomial variant of a problem of Diophantus (CROSBI ID 155769)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Dujella, Andrej ; Jurasić, Ana
On the size of sets in a polynomial variant of a problem of Diophantus // International Journal of Number Theory, 6 (2010), 7; 1449-1471. doi: 10.1142/S1793042110003575
Podaci o odgovornosti
Dujella, Andrej ; Jurasić, Ana
engleski
On the size of sets in a polynomial variant of a problem of Diophantus
In this paper, we prove that there does not exist a set of 8 polynomials (not all constant) with coefficients in an algebraically closed field of characteristic 0 with the property that the product of any two of its distinct elements plus 1 is a perfect square.
Diophantine m-tuples; polynomials; function fields; Ramsey theory
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Podaci o izdanju
6 (7)
2010.
1449-1471
objavljeno
1793-0421
10.1142/S1793042110003575
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