Naslov
Diophantine m-tuples with elements in arithmetic progressions

Autori
Dujella, Andrej ; Saradha, Natarajan

Izvornik
Indagationes mathematicae (0019-3577) 25 (2014), 1; 131-136

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

Ključne riječi
Diophantine m-tuples ; arithmetic progressions

Sažetak
In this paper, we consider the problem of existence of Diophantine m-tuples which are (not necessarily consecutive) elements of an arithmetic progression. We show that for n >= 3 there does not exist a Diophantine quintuple {; ; ; ; ; ; a, b, c, d, e}; ; ; ; ; ; such that a = b = c = d = e (mod n). On the other hand, for any positive integer n there exist infinitely many Diophantine triples {; ; ; ; ; ; a, b, c}; ; ; ; ; ; such that a = b = c = 0 (mod n).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA