Pregled bibliografske jedinice broj: 822523
A variation of a congruence of Subbarao for n=2^(alpha)*5^(beta), alpha, beta>=0
A variation of a congruence of Subbarao for n=2^(alpha)*5^(beta), alpha, beta>=0 // Periodica mathematica Hungarica, 75 (2017), 1; 66-79 doi:10.1007/s10998-016-0168-6 (međunarodna recenzija, članak, znanstveni)
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Naslov
A variation of a congruence of Subbarao for n=2^(alpha)*5^(beta), alpha, beta>=0
Autori
Bujačić, Sanda
Izvornik
Periodica mathematica Hungarica (0031-5303) 75
(2017), 1;
66-79
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Euler’s totient function ; sum of positive divisors ; Pellian equations ; congruence of Subbarao
Sažetak
There are many open problems concerning the characterization of the positive integers n fulfilling certain congruences and involving the Euler totient function Phi and the sum of positive divisors function sigma of the positive integer n. In this work, we deal with the congruence of the form n*Phi(n) == 2 (mod sigma(n)) and we prove that the only positive integers n of the form 2^(alpha)*5^(beta), for alpha, beta>=0, that satisfy the mentioned congruence of Subbarao are n = 1, 2, 5, 8.
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)
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::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
