Pregled bibliografske jedinice broj: 755188
Two divisors of (n^2+1)/2 summing up to δn+ε, for δ and ε even
Two divisors of (n^2+1)/2 summing up to δn+ε, for δ and ε even // Workshop on Number Theory and Algebra
Zagreb, Hrvatska, 2014. str. 3-3 (pozvano predavanje, nije recenziran, sažetak, znanstveni)
CROSBI ID: 755188 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Two divisors of (n^2+1)/2 summing up to δn+ε, for δ and ε even
Autori
Bujačić, Sanda
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Workshop on Number Theory and Algebra
/ - , 2014, 3-3
Skup
Workshop on Number Theory and Algebra on the occasion of 60th birthday of Ivica Gusić
Mjesto i datum
Zagreb, Hrvatska, 26.11.2014. - 28.11.2014
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
sum of divisors; continued fractions; Pell's equations
Sažetak
We deal with the problem of the existence of two divisors of (n^2+1)/2 whose sum is equal to δn+ε, in the case when δ and ε are even, or more precisely in the case in which δ = ε+2 = 0 or 2 (mod 4). We will completely solve the cases δ = 2, δ = 4 and ε = 0. In our proofs we use Diophantine equations and their properties, with a special accent on Pellian equations and their properties.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-6422 - Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (DIOPHANTINE) (Dujella, Andrej, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Sanda Bujačić Babić
(autor)
