Naslov
Diophantine D(4)-m-tuples

Autori
Bliznac Trebješanin, Marija

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

Skup
20th International Workshop for Young Mathematicians ”Number Theory”

Mjesto i datum
Kraków, Poljska, 17.09.2017. - 23.09.2017

Vrsta sudjelovanja
Poster

Vrsta recenzije
Nije recenziran

Ključne riječi
diophantine m-tuples, diophantine equations, pell equations

Sažetak
We call the set of m positive distinct integers D(n)-m-tuple if the product of any of its two elements increased by n is a perfect square. We will present some methods that led to the proof that D(4)-quintuple doesn’t exist and give comparison with the case n = 1. The conjecture that an extension of a D(n)- triple to a D(n)-quadruple is unique is still an open problem in both cases n = 1 and n = 4, so we will present some known properties of these quadruples. Results from this poster are from joint works with A. Filipin.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA