On generalized Diophantine quadruples (CROSBI ID 659001)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Franušić, Zrinka ; Jadrijević, Borka
engleski
On generalized Diophantine quadruples
In some commutative rings with the unity, we explain how to verify the conjecture on the existence of Diophantine quadruples with the property D(w), i.e. four-elements sets with the property that the product of each two distinct elements increased by w is a perfect square. The conjecture states that a Diophantine quadruple with the property D(w) exists if and only if w can be represented as a difference of two squares of elements from the ring. The verification includes characterizations of elements that can be represented as difference of two squares and implementations of some polynomial formulas for Diophantine quadruples.
Diophantine quadruples, bicyclic biquadratic fields
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Podaci o prilogu
2017.
objavljeno
Podaci o matičnoj publikaciji
Podaci o skupu
Diophantine problems (DIOP)
poster
11.09.2017-15.09.2017
Manchester, Ujedinjeno Kraljevstvo