Izvorni znanstveni članak

https://doi.org/10.21857/y26kecl809

Diophantine quintuples containing two pairs of conjugates in some quadratic fields

Zrinka Franušić orcid.org/0000-0003-3481-8057 ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia

Sažetak

In this paper, we describe constructions of Diophantine quintuples of the special form in rings Z[√D] for certain positive integer D. The term "special form" refers to Diophantine quintuples of the form {e, a + b√D, a - b√D, c + d√D, c - d√D}, where a, b, c, d, e are integers. Also, we assume these quintuples contain two regular Diophantine quadruples.

Ključne riječi

Diophantine quintuples; regular Diophantine quadruples; quadratic fields

Hrčak ID:

283926

URI

https://hrcak.srce.hr/283926

Datum izdavanja:

27.9.2022.

Posjeta: 431 *