Naslov
On Diophantine m-tuples and D(n)-sets

Autori
Adžaga, Nikola ; Dujella, Andrej ; Kreso, Dijana ; Tadić, Petra

Izvornik
RIMS Kokyuroku (1880-2818) 2092 (2018); 130-137

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Diophantine m-tuples, elliptic curves

Sažetak
For a nonzero integer n, a set of distinct nonzero integers {; ; ; ; ; ; a 1 , a 2 , . .. , a m }; ; ; ; ; ; such that a i a j + n is a perfect square for all 1 ≤ i < j ≤ m, is called a Diophantine m- tuple with the property D(n) or simply D(n)- set. Such sets have been studied since the ancient times. In this article, we give an overview of the results from the literature about D(n)-sets and summarize our recent findings about triples of integers which are D(n)-sets for several n's. Furthermore, we include some new observations and remarks about the ways to construct such triples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA