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Pregled bibliografske jedinice broj: 736059

Two divisors of (n^2+1)/2 summing up to δn+ε, for δ and ε even


Bujačić, Sanda
Two divisors of (n^2+1)/2 summing up to δn+ε, for δ and ε even // Miskolc Mathematical Notes, 15 (2014), 2; 333-344 (međunarodna recenzija, članak, znanstveni)


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Naslov
Two divisors of (n^2+1)/2 summing up to δn+ε, for δ and ε even

Autori
Bujačić, Sanda

Izvornik
Miskolc Mathematical Notes (1787-2405) 15 (2014), 2; 333-344

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

Ključne riječi
sum of divisors ; continued fractions ; Pell's equations

Sažetak
In this paper we are dealing 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.

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:

Avatar Url Sanda Bujačić Babić (autor)

Poveznice na cjeloviti tekst rada:

mat76.mat.uni-miskolc.hu

Citiraj ovu publikaciju:

Bujačić, Sanda
Two divisors of (n^2+1)/2 summing up to δn+ε, for δ and ε even // Miskolc Mathematical Notes, 15 (2014), 2; 333-344 (međunarodna recenzija, članak, znanstveni)
Bujačić, S. (2014) Two divisors of (n^2+1)/2 summing up to δn+ε, for δ and ε even. Miskolc Mathematical Notes, 15 (2), 333-344.
@article{article, author = {Buja\v{c}i\'{c}, Sanda}, year = {2014}, pages = {333-344}, keywords = {sum of divisors, continued fractions, Pell's equations}, journal = {Miskolc Mathematical Notes}, volume = {15}, number = {2}, issn = {1787-2405}, title = {Two divisors of (n\^{}2+1)/2 summing up to δn+ε, for δ and ε even}, keyword = {sum of divisors, continued fractions, Pell's equations} }
@article{article, author = {Buja\v{c}i\'{c}, Sanda}, year = {2014}, pages = {333-344}, keywords = {sum of divisors, continued fractions, Pell's equations}, journal = {Miskolc Mathematical Notes}, volume = {15}, number = {2}, issn = {1787-2405}, title = {Two divisors of (n\^{}2+1)/2 summing up to δn+ε, for δ and ε even}, keyword = {sum of divisors, continued fractions, Pell's equations} }

Časopis indeksira:


  • 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::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts





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