Some arithmetic functions of factorials in Lucas sequences
We prove that if {un}n≥ 0 is a nondegenerate Lucas sequence, then there are only finitely many effectively computable positive integers n such that |un|=f(m!), where f is either the sum-of-divisors function, or the sum-of-proper-divisors function, or the Euler phi function. We also give a theorem th...
| Permalink: | http://skupni.nsk.hr/Record/nsk.NSK01001145049/Details |
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| Matična publikacija: |
Glasnik matematički (Online) 56 (2021), 1 ; str. 17-28 |
| Glavni autori: | Bravo, Eric F. (Author), Bravo, Jhon J. |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.3336/gm.56.1.02 Glasnik matematički (Online) Hrčak |
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| 008 | 220803s2021 ci |o |0|| ||eng | ||
| 024 | 7 | |2 doi |a 10.3336/gm.56.1.02 | |
| 035 | |a (HR-ZaNSK)001145049 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 042 | |a croatica | ||
| 044 | |a ci |c hr | ||
| 080 | 1 | |a 51 |2 2011 | |
| 100 | 1 | |a Bravo, Eric F. |4 aut |9 HR-ZaNSK | |
| 245 | 1 | 0 | |a Some arithmetic functions of factorials in Lucas sequences |h [Elektronička građa] / |c Eric F. Bravo, Jhon J. Bravo. |
| 504 | |a Bibliografija: 21 jed. | ||
| 504 | |a Abstract. | ||
| 520 | |a We prove that if {un}n≥ 0 is a nondegenerate Lucas sequence, then there are only finitely many effectively computable positive integers n such that |un|=f(m!), where f is either the sum-of-divisors function, or the sum-of-proper-divisors function, or the Euler phi function. We also give a theorem that holds for a more general class of integer sequences and illustrate our results through a few specific examples. This paper is motivated by a previous work of Iannucci and Luca who addressed the above problem with Catalan numbers and the sum-of-proper-divisors function. | ||
| 653 | 0 | |a Lucasov niz |a Aritmetičke funkcije |a Diofantske jednadžbe | |
| 700 | 1 | |a Bravo, Jhon J. |4 aut | |
| 773 | 0 | |t Glasnik matematički (Online) |x 1846-7989 |g 56 (2021), 1 ; str. 17-28 |w nsk.(HR-ZaNSK)000659858 | |
| 981 | |b Be2021 |b B03/21 | ||
| 998 | |b tino2210 | ||
| 856 | 4 | 0 | |u https://doi.org/10.3336/gm.56.1.02 |
| 856 | 4 | 0 | |u https://web.math.pmf.unizg.hr/glasnik/EasyTracker.php?id=56102 |y Glasnik matematički (Online) |
| 856 | 4 | 1 | |y Digitalna.nsk.hr |
| 856 | 4 | 0 | |u https://hrcak.srce.hr/259298 |y Hrčak |