Pregled bibliografske jedinice broj: 233009
Diophantine m-tuples for linear polynomials. II. Equal degrees
Diophantine m-tuples for linear polynomials. II. Equal degrees // Journal of Number Theory, 120 (2006), 2; 213-228 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 233009 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Diophantine m-tuples for linear polynomials. II. Equal degrees
Autori
Dujella, Andrej ; Fuchs, Clemens ; Walsh, Gary P.
Izvornik
Journal of Number Theory (0022-314X) 120
(2006), 2;
213-228
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
diophantine m-tuples; linear polynomials; Mason's inequality
Sažetak
In this paper we prove the best possible upper bounds for the number of elements in a set of polynomials with integer coefficients all having the same degree, such that the product of any two of them plus a linear polynomial is a square of a polynomial with integer coefficients. Moreover, we prove that there does not exist a set of more than 12 polynomials with integer coefficients and with the property from above. This significantly improves a recent result of the first two authors with R. F. Tichy.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037110
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Andrej Dujella
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentralblatt MATH
