A method of constructing Diophantine quadruples in some number fields (CROSBI ID 622619)
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Podaci o odgovornosti
Franušić, Zrinka
engleski
A method of constructing Diophantine quadruples in some number fields
Let R be a commutative ring with unity 1 and w 2 R. We say that a set of four nonzero distinct elements in R is a Diophantine quadruple with the property D(w) if the product of any two distinct elements increased by w is a perfect square. Such sets can be constructed e ectively using polynomial formulas. The aim of this is to verify the conjecture that the existence of a Diophantine quadruple with the property D(w) depends on the representability of w as a difference of two squares of elements in some number fields.
Diophantine quadruples; number fields
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Podaci o prilogu
4-4.
2014.
objavljeno
Podaci o matičnoj publikaciji
Conference on Diophantine m-tuples and related problems
Podaci o skupu
Conference on Diophantine m-tuples and related problems
predavanje
13.11.2014-15.11.2014
Westville (NJ), Sjedinjene Američke Države