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Any polynomial D(4)-quadruple is regular (CROSBI ID 136194)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Filipin, Alan ; Fujita, Yasutsugu
Any polynomial D(4)-quadruple is regular // Mathematical communications, 13 (2008), 1; 45-55
Podaci o odgovornosti
Filipin, Alan ; Fujita, Yasutsugu
engleski
Any polynomial D(4)-quadruple is regular
In this paper, we prove that if {; ; ; a, b, c, d}; ; ; is a set of four non-zero polynomials with integer coefficients, not all constant, such that the product of any two of its distinct elements increased by 4 is a square of a polynomial with integer coefficients, then (a + b − c − d)^2 = (ab + 4)(cd + 4).
diophantine m-tuples; polynomial Pellian equations
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