Pregled bibliografske jedinice broj: 516162
Some Diophantine triples and quadruples for quadratic polynomials
Some Diophantine triples and quadruples for quadratic polynomials // Journal of combinatorics and number theory, 3 (2011), 2; 123-141 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 516162 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some Diophantine triples and quadruples for quadratic polynomials
Autori
Dujella, Andrej ; Jurasić, Ana
Izvornik
Journal of combinatorics and number theory (1942-5600) 3
(2011), 2;
123-141
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine m-tuples ; polynomials
Sažetak
In this paper, we give some new examples of polynomial D(n)-triples and quadruples, i.e. sets of polynomials with integer coefficients, such that the product of any two of them plus a polynomial n in Z[X] is a square of a polynomial with integer coefficients. The examples illustrate various theoretical properties and constructions for a quadratic polynomial n which appeared in recent papers. One of the examples gives a partial answer to the question about number of distinct D(n)-quadruples if n is an integer that is the product of twin primes.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Rijeci, Fakultet za matematiku
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
