Pregled bibliografske jedinice broj: 1103705
Rational Diophantine sextuples
Rational Diophantine sextuples // Conference on Elementary and analytic number theory (ELAZ 2016)
Strobl, Austrija, 2016. str. 33-33 (predavanje, podatak o recenziji nije dostupan, sažetak, znanstveni)
CROSBI ID: 1103705 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Rational Diophantine sextuples
Autori
Dujella, Andrej ; Kazalicki, Matija ; Mikić, Miljen ; Szikszai, Marton
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Conference on Elementary and analytic number theory (ELAZ 2016)
/ - , 2016, 33-33
Skup
ELAZ 2016
Mjesto i datum
Strobl, Austrija, 05.09.2016. - 09.09.2016
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Podatak o recenziji nije dostupan
Ključne riječi
Diophantine m-tuples
Sažetak
A rational Diophantine $m$-tuple is a set of $m$ nonzero rationals such that the product of any two distinct elements from the set increased by $1$ is a perfect square. The first rational Diophantine quadruple was found by Diophantus, while Euler proved that there are infinitely many rational Diophantine quintuples. In 1999, Gibbs found the first example of a rational Diophantine sextuple. In this talk, we present two constructions of infinite families of rational Diophantine sextuples.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
