Naslov
A method of constructing Diophantine quadruples in some number fields

Autori
Franušić, Zrinka

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Conference on Diophantine m-tuples and related problems / - , 2014, 4-4

Skup
Conference on Diophantine m-tuples and related problems

Mjesto i datum
Westville (NJ), Sjedinjene Američke Države, 13.11.2014. - 15.11.2014

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Diophantine quadruples; number fields

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA