Narayana numbers as products of three repdigits in base g

被引:0
作者
BEN Yakkou, Hamid [1 ]
Kakanou, Kossi richmond [2 ]
Tiebekabe, Pagdame [2 ,3 ]
机构
[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Atlas Fez, Morocco
[2] Univ Cheikh Anta Diop Dakar UCAD, Lab Algebre Cryptol Geometrie Algebr & Applicat LA, Dakar, Senegal
[3] Univ Kara, Fac Sci & Tech, Dept Math, Kara, Togo
来源
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA | 2023年 / 27卷 / 02期
关键词
Narayana numbers; repdigits; linear form in logarithms; Baker's method; reduction method;
D O I
10.12697/ACUTM.2023.27.21
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we show that there are only finitely many Narayana's numbers which can be written as a product of three repdigits in base g with g >= 2. Moreover, for 2 <= g <= 10, we determine all these numbers.
引用
收藏
页码:319 / 334
页数:16
相关论文
共 10 条
[1]  
Abou-Elela G, 2023, Arxiv, DOI [arXiv:2303.01718, 10.48550/arXiv.2303.01718, DOI 10.48550/ARXIV.2303.01718]
[2]  
Adedji K. N, 2023, Bol. Soc. Mat. Mex., V29
[3]   Fibonacci and Lucas numbers as products of three repdgits in base g [J].
Adedji, Kouessi Norbert ;
Filipin, Alan ;
Togbe, Alain .
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (08) :4003-4021
[4]  
Allouche J. P., 1996, J. d'Inform. Music.
[5]   EQUATIONS 3X2-2=Y2 AND 8X2-7=Z2 [J].
BAKER, A ;
DAVENPOR.H .
QUARTERLY JOURNAL OF MATHEMATICS, 1969, 20 (78) :129-&
[6]   Narayana numbers as sums of two base b repdigits [J].
Bhoi, Kisan ;
Patel, Bijan Kuamr ;
Ray, Prasanta Kumar .
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2022, 26 (02) :183-192
[7]   A generalization of a theorem of Baker and Davenport [J].
Dujella, A ;
Petho, A .
QUARTERLY JOURNAL OF MATHEMATICS, 1998, 49 (195) :291-306
[8]  
Sanchez SG, 2014, ANN MATH QUE, V38, P169, DOI 10.1007/s40316-014-0025-z
[9]   An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II [J].
Matveev, EM .
IZVESTIYA MATHEMATICS, 2000, 64 (06) :1217-1269
[10]  
Tiebekabe P, 2023, Arxiv, DOI [arXiv:2304.00773, 10.48550/arXiv.2304.00773, DOI 10.48550/ARXIV.2304.00773]