Pregled bibliografske jedinice broj: 1139460
Padovan and Perrin numbers which are products of two repdigits in base b
Padovan and Perrin numbers which are products of two repdigits in base b // Results in mathematics, 76 (2021), 4; 193, 24 (međunarodna recenzija, članak, znanstveni)
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Naslov
Padovan and Perrin numbers which are products of
two repdigits in base b
Autori
Adedji, Kouessi Norbert ; Filipin, Alan ; Togbe, Alain
Izvornik
Results in mathematics (1422-6383) 76
(2021), 4;
193, 24
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Padovan numbers ; Perrin numbers ; repdigits ; linear forms in logarithms ; Diophantine equations ; reduction method
Sažetak
In this paper, we find all Padovan and Perrin numbers which can be expressible as a products of two repdigits in the base b with 2 ≤ b ≤ 10. It is shown that the largest Padovan and Perrin numbers which can be expressible as a products of two repdigits are P_25 = 616 and T_22 = 486, respectively. The proofs use lower bounds for linear forms in three logarithms of algebraic numbers and some tools from Diophantine approximation.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-1313 - Diofantska geometrija i primjene (DIOPHANT) (Kazalicki, Matija, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Građevinski fakultet, Zagreb
Profili:
Alan Filipin
(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
