Naslov
On the number of D(-1)-quadruples

Autori
Filipin, Alan ; Fujita, Yasutsugu

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

Izvornik
Number Theory and Its Applications / - Deberecen, 2010, 11-11

Skup
Number Theory and Its Applications. An international conference dedicated to Kalman Gyory, Attila Petho, Janos Pintz and Andras Sarkozy

Mjesto i datum
Debrecen, Mađarska, 04.10.2010. - 08.10.2010

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
D(-1)-quadruples

Sažetak
The D(-1)-quadruple conjecture states that these does not exist a set of four positive integers such that the product of any two distinct elements decresed by 1 is a perfect square. In joint work with Dujella and Fuchs, Filipin proved that there are only finitely many D(-1)-quadruples. In this talk we give an upper bound for the number of D(-1)-quadruples transforming the problem into a system of simultaneous Pell equations with the right-hand side equals 1.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA