Naslov
Diophantine m-tuples for quadratic polynomials

Autori
Jurasić, Ana

Izvornik
Glasnik matematički (0017-095X) 46 (2011), 2; 283-309

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

Ključne riječi
Diophantine m-tuples; polynomials

Sažetak
In this paper, we prove that there does not exist a set with more than 98 nonzero polynomials in Z[X], such that the product of any two of them plus a quadratic polynomial n is a square of a polynomial from Z[X] (we exclude the possibility that all elements of such set are constant multiples of a linear polynomial p in Z[X] such that p^2|n). Specially, we prove that if such a set contains only polynomials of odd degree, then it has at most 18 elements.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA